Handbook of Finsler geometry 1 2003

There are several mathematical approaches to Finsler Geometry, all of which are contained and expounded in this comprehensive Handbook. The principal bundles pathway to state-of-the-art Finsler Theory is here provided by M. Matsumoto.

Author: Peter L. Antonelli

Publisher: Springer Science & Business Media

ISBN: 9781402015557

Category: Mathematics

Page: 760

View: 345

There are several mathematical approaches to Finsler Geometry, all of which are contained and expounded in this comprehensive Handbook. The principal bundles pathway to state-of-the-art Finsler Theory is here provided by M. Matsumoto. His is a cornerstone for this set of essays, as are the articles of R. Miron (Lagrange Geometry) and J. Szilasi (Spray and Finsler Geometry). After studying either one of these, the reader will be able to understand the included survey articles on complex manifolds, holonomy, sprays and KCC-theory, symplectic structures, Legendre duality, Hodge theory and Gauss-Bonnet formulas. Finslerian diffusion theory is presented by its founders, P. Antonelli and T. Zastawniak. To help with calculations and conceptualizations, a CD-ROM containing the software package FINSLER, based on MAPLE, is included with the book.

Handbook of Finsler geometry 2 2003

Peter L. Antonelli. HANDBOOK OF FINSLER GEOMETRY Volume 2 This One T7KW - AYC - EN5P A C.I.P. Catalogue record for this book is available from.

Author: Peter L. Antonelli

Publisher: Springer Science & Business Media

ISBN: 9781402015564

Category: Mathematics

Page: 746

View: 504

There are several mathematical approaches to Finsler Geometry, all of which are contained and expounded in this comprehensive Handbook. The principal bundles pathway to state-of-the-art Finsler Theory is here provided by M. Matsumoto. His is a cornerstone for this set of essays, as are the articles of R. Miron (Lagrange Geometry) and J. Szilasi (Spray and Finsler Geometry). After studying either one of these, the reader will be able to understand the included survey articles on complex manifolds, holonomy, sprays and KCC-theory, symplectic structures, Legendre duality, Hodge theory and Gauss-Bonnet formulas. Finslerian diffusion theory is presented by its founders, P. Antonelli and T. Zastawniak. To help with calculations and conceptualizations, a CD-ROM containing the software package FINSLER, based on MAPLE, is included with the book.

Handbook of Differential Geometry

1, Geometry Balkan Press, Bucuresti (1997). R. Miron, M. Anastasiei and I. Buc ̆ataru, The geometry of Lagrange spaces, Handbook of Finsler Geometry, P.L. Antonelli, ed., Kluwer Academic (2003).

Author: Franki J.E. Dillen

Publisher: Elsevier

ISBN: 9780080461205

Category: Mathematics

Page: 574

View: 782

In the series of volumes which together will constitute the "Handbook of Differential Geometry" we try to give a rather complete survey of the field of differential geometry. The different chapters will both deal with the basic material of differential geometry and with research results (old and recent). All chapters are written by experts in the area and contain a large bibliography. In this second volume a wide range of areas in the very broad field of differential geometry is discussed, as there are Riemannian geometry, Lorentzian geometry, Finsler geometry, symplectic geometry, contact geometry, complex geometry, Lagrange geometry and the geometry of foliations. Although this does not cover the whole of differential geometry, the reader will be provided with an overview of some its most important areas. . Written by experts and covering recent research . Extensive bibliography . Dealing with a diverse range of areas . Starting from the basics

Handbook of Global Analysis

A 5 (1948) 95–121 S.S. Chern, W.H. Chen and K.S. Lam: Lectures On Differential Geometry (World Scientific, 1999) S.S. Chern and Z. Shen: Riemannian-Finsler Geometry (Nankai Tracts in Mathematics, 6, World Scientific, 2005) P. Dazord: ...

Author: Demeter Krupka

Publisher: Elsevier

ISBN: 9780080556734

Category: Mathematics

Page: 1244

View: 323

This is a comprehensive exposition of topics covered by the American Mathematical Society’s classification “Global Analysis , dealing with modern developments in calculus expressed using abstract terminology. It will be invaluable for graduate students and researchers embarking on advanced studies in mathematics and mathematical physics. This book provides a comprehensive coverage of modern global analysis and geometrical mathematical physics, dealing with topics such as; structures on manifolds, pseudogroups, Lie groupoids, and global Finsler geometry; the topology of manifolds and differentiable mappings; differential equations (including ODEs, differential systems and distributions, and spectral theory); variational theory on manifolds, with applications to physics; function spaces on manifolds; jets, natural bundles and generalizations; and non-commutative geometry. - Comprehensive coverage of modern global analysis and geometrical mathematical physics - Written by world-experts in the field - Up-to-date contents

Finsler Geometry

|HrSh] H. Hrimiuc and H. Shimada, On the L-duality between Finsler and Hamilton manifolds, Nonlinear World, 3(1996), 613-641. |Mal M. Matsumoto, Finsler Geometry in the 20th-Century, In: Handbook of Finsler Geometry, Volume 2, ...

Author: Xinyue Cheng

Publisher: Springer Science & Business Media

ISBN: 3642248888

Category: Mathematics

Page: 150

View: 643

"Finsler Geometry: An Approach via Randers Spaces" exclusively deals with a special class of Finsler metrics -- Randers metrics, which are defined as the sum of a Riemannian metric and a 1-form. Randers metrics derive from the research on General Relativity Theory and have been applied in many areas of the natural sciences. They can also be naturally deduced as the solution of the Zermelo navigation problem. The book provides readers not only with essential findings on Randers metrics but also the core ideas and methods which are useful in Finsler geometry. It will be of significant interest to researchers and practitioners working in Finsler geometry, even in differential geometry or related natural fields. Xinyue Cheng is a Professor at the School of Mathematics and Statistics of Chongqing University of Technology, China. Zhongmin Shen is a Professor at the Department of Mathematical Sciences of Indiana University Purdue University, USA.

Innovative Security Solutions for Information Technology and Communications

In: Finslerian Geometries. Kluwer Academic Publishers. FTPH, vol. 109, pp. 209–223 (2000) 21. Aikou, T., Kozma, L.: Global aspects of Finsler geometry. In: Handbook of Global Analysis, pp. 1–39, 1211. Elsevier Sci.

Author: Diana Maimut

Publisher: Springer Nature

ISBN: 3030692558

Category: Computers

Page: 303

View: 190

This book constitutes the thoroughly refereed post-conference proceedings of the 13th International Conference on Security for Information Technology and Communications, SecITC 2020, held in Bucharest, Romania, in November 2020. The 17 revised full papers presented together with 2 invited talks were carefully reviewed and selected from 41 submissions. The conference covers topics from cryptographic algorithms, to digital forensics and cyber security and much more.

Handbook of Differential Geometry

In the series of volumes which together will constitute the "Handbook of Differential Geometry" we try to give a rather complete survey of the field of differential geometry.

Author: Franki Dillen

Publisher: North-Holland

ISBN: 9780444520524

Category: Mathematics

Page: 560

View: 686

In the series of volumes which together will constitute the "Handbook of Differential Geometry" we try to give a rather complete survey of the field of differential geometry. The different chapters will both deal with the basic material of differential geometry and with research results (old and recent). All chapters are written by experts in the area and contain a large bibliography. In this second volume a wide range of areas in the very broad field of differential geometry is discussed, as there are Riemannian geometry, Lorentzian geometry, Finsler geometry, symplectic geometry, contact geometry, complex geometry, Lagrange geometry and the geometry of foliations. Although this does not cover the whole of differential geometry, the reader will be provided with an overview of some its most important areas. . Written by experts and covering recent research . Extensive bibliography . Dealing with a diverse range of areas . Starting from the basics

Finsler and Lagrange Geometries

In [7] the Cartan connection CT(N) = (£, N.C.) is used as Finsler - % connection, i.e. in the above formulas T' = fje On the other hand, ... [5] Matsumoto, M., Randers spaces of constant curvature, The Handbook of Finsler geometry, ...

Author: Mihai Anastasiei

Publisher: Springer Science & Business Media

ISBN: 9401704058

Category: Science

Page: 324

View: 840

In the last decade several international conferences on Finsler, Lagrange and Hamilton geometries were organized in Bra§ov, Romania (1994), Seattle, USA (1995), Edmonton, Canada (1998), besides the Seminars that periodically are held in Japan and Romania. All these meetings produced important progress in the field and brought forth the appearance of some reference volumes. Along this line, a new International Conference on Finsler and Lagrange Geometry took place August 26-31,2001 at the "Al.I.Cuza" University in Ia§i, Romania. This Conference was organized in the framework of a Memorandum of Un derstanding (1994-2004) between the "Al.I.Cuza" University in Ia§i, Romania and the University of Alberta in Edmonton, Canada. It was especially dedicated to Prof. Dr. Peter Louis Antonelli, the liaison officer in the Memorandum, an untired promoter of Finsler, Lagrange and Hamilton geometries, very close to the Romanian School of Geometry led by Prof. Dr. Radu Miron. The dedica tion wished to mark also the 60th birthday of Prof. Dr. Peter Louis Antonelli. With this occasion a Diploma was given to Professor Dr. Peter Louis Antonelli conferring the title of Honorary Professor granted to him by the Senate of the oldest Romanian University (140 years), the "Al.I.Cuza" University, Ia§i, Roma nia. There were almost fifty participants from Egypt, Greece, Hungary, Japan, Romania, USA. There were scheduled 45 minutes lectures as well as short communications.

Connections Sprays and Finsler Structures

Handbook of Finsler geometry, Vol. 1–2 (Kluwer Academic Publishers, Dordrecht), pp. 557–966. Matveev, V. S., Rademacher, H.-B., Troyanov, M. and Zeghib, A. (2009). Finsler conformal Lichnerowicz–Obata conjecture, Ann. Inst. Fourier ...

Author: József Szilasi

Publisher: World Scientific Publishing Company

ISBN: 9814440116

Category: Mathematics

Page: 732

View: 625

This book provides a comprehensive introduction to Finsler geometry in the language of present-day mathematics. Through Finsler geometry, it also introduces the reader to other structures and techniques of differential geometry. Prerequisites for reading the book are minimal: undergraduate linear algebra (over the reals) and analysis. The necessary concepts and tools of advanced linear algebra (over modules), point set topology, multivariable calculus and the rudiments of the theory of differential equations are integrated in the text. Basic manifold and bundle theories are treated concisely, carefully and (apart from proofs) in a self-contained manner. The backbone of the book is the detailed and original exposition of tangent bundle geometry, Ehresmann connections and sprays. It turns out that these structures are important not only in their own right and in the foundation of Finsler geometry, but they can be also regarded as the cornerstones of the huge edifice of Differential Geometry. The authors emphasize the conceptual aspects, but carefully elaborate calculative aspects as well (tensor derivations, graded derivations and covariant derivatives). Although they give preference to index-free methods, they also apply the techniques of traditional tensor calculus. Most proofs are elaborated in detail, which makes the book suitable for self-study. Nevertheless, the authors provide for more advanced readers as well by supplying them with adequate material, and the book may also serve as a reference.

Differential Geometry and Its Applications

M. Crampin, On horizontal distributions on the tangent bundle of a differentiable manifold, J. London Math. Soc. ... Handbook of Finsler Geometry (Kluwer Academic Publishers, Dordrecht, 2003) 1183–1426. J. Szilasi and ́A.

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ISBN: 9814471941

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