The Theory of Sprays and Finsler Spaces with Applications in Physics and Biology, P.L. Antonelli; Roman S. Ingarden; M. Matsumoto

Автор: Shaoqiang Deng
Название: Homogeneous Finsler Spaces
ISBN: 1489994769 ISBN-13(EAN): 9781489994769
Издательство: Springer
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Описание: Homogeneous Finsler Spaces is the first book to emphasize the relationship between Lie groups and Finsler geometry, and the first to show the validity in using Lie theory for the study of Finsler geometry problems.

Автор: Hanno Rund
Название: The Differential Geometry of Finsler Spaces
ISBN: 3642516122 ISBN-13(EAN): 9783642516122
Издательство: Springer
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Описание: Firstly, an endeavour has been made to furnish a reasonably comprehensive account of the theory of Finsler spaces based on the methods of classical differential geometry.

Автор: Matthias Heymann
Название: Minimum Action Curves in Degenerate Finsler Metrics
ISBN: 3319177524 ISBN-13(EAN): 9783319177526
Издательство: Springer
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Описание:

Preface.- Acknowledgements.- Acronyms.- Part I: Results.- Introduction.- Geometric Action Functionals.- Existence of Minimum Action Curves.- Properties of Minimum Action Curves.- Conclusions.- Some Proofs and Remarks.- Part II: Proofs.- Finding Points with Local Minimizers.- Proof of Lemma 6.1.- Part III: Proof of a Technical Lemma.- Proof of Lemma 6.15: Main Arguments.- Proof of Lemma 6.15: Some Technical Details.- Glossary.- Index.- References.

Автор: P.L. Antonelli; Roman S. Ingarden; M. Matsumoto
Название: The Theory of Sprays and Finsler Spaces with Applications in Physics and Biology
ISBN: 9048143411 ISBN-13(EAN): 9789048143412
Издательство: Springer
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Описание: The present book has been written by two mathematicians and one physicist: a pure mathematician specializing in Finsler geometry (Makoto Matsumoto), one working in mathematical biology (Peter Antonelli), and a mathematical physicist specializing in information thermodynamics (Roman Ingarden).

Автор: Shen Yi-Bing Et Al
Название: Introduction To Modern Finsler Geometry
ISBN: 9814704903 ISBN-13(EAN): 9789814704908
Издательство: World Scientific Publishing
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Описание:

This comprehensive book is an introduction to the basics of Finsler geometry with recent developments in its area. It includes local geometry as well as global geometry of Finsler manifolds.

In Part I, the authors discuss differential manifolds, Finsler metrics, the Chern connection, Riemannian and non-Riemannian quantities. Part II is written for readers who would like to further their studies in Finsler geometry. It covers projective transformations, comparison theorems, fundamental group, minimal immersions, harmonic maps, Einstein metrics, conformal transformations, amongst other related topics. The authors made great efforts to ensure that the contents are accessible to senior undergraduate students, graduate students, mathematicians and scientists.