An Introduction to Riemann-Finsler Geometry, D. Bao; S.-S. Chern; Z. Shen
Автор: Aurel Bejancu; Hani Reda Farran Название: Geometry of Pseudo-Finsler Submanifolds ISBN: 9048156017 ISBN-13(EAN): 9789048156016 Издательство: Springer Рейтинг: Цена: 12157.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Finsler geometry is the most natural generalization of Riemannian geo- metry. It started in 1918 when P. Finsler 1] wrote his thesis on curves and surfaces in what he called generalized metric spaces. Studying the geometry of those spaces (which where named Finsler spaces or Finsler manifolds) became an area of active research. Many important results on the subject have been brought together in several monographs (cf., H. Rund 3], G. Asanov 1], M. Matsumoto 6], A. Bejancu 8], P. L. Antonelli, R. S. Ingar- den and M. Matsumoto 1], M. Abate and G. Patrizio 1] and R. Miron 3]) . However, the present book is the first in the literature that is entirely de- voted to studying the geometry of submanifolds of a Finsler manifold. Our exposition is also different in many other respects. For example, we work on pseudo-Finsler manifolds where in general the Finsler metric is only non- degenerate (rather than on the particular case of Finsler manifolds where the metric is positive definite). This is absolutely necessary for physical and biological applications of the subject. Secondly, we combine in our study both the classical coordinate approach and the modern coordinate-free ap- proach. Thirdly, our pseudo-Finsler manifolds F = (M, M', F*) are such that the geometric objects under study are defined on an open submani- fold M' of the tangent bundle T M, where M' need not be equal to the entire TMo = TM\O(M).
Автор: P.L. Antonelli; R. Miron Название: Lagrange and Finsler Geometry ISBN: 9048146569 ISBN-13(EAN): 9789048146567 Издательство: Springer Рейтинг: Цена: 23053.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Since 1992 Finsler geometry, Lagrange geometry and their applications to physics and biology, have been intensive1y studied in the context of a 5-year program called "Memorandum ofUnderstanding", between the University of Alberta and "AL.1. CUZA" University in lasi, Romania. The conference, whose proceedings appear in this collection, belongs to that program and aims to provide a forum for an exchange of ideas and information on recent advances in this field. Besides the Canadian and Romanian researchers involved, the conference benefited from the participation of many specialists from Greece, Hungary and Japan. This proceedings is the second publication of our study group. The first was Lagrange Geometry. Finsler spaces and Noise Applied in Biology and Physics (1]. Lagrange geometry, which is concerned with regular Lagrangians not necessarily homogeneous with respect to the rate (i.e. velocities or production) variables, naturalIy extends Finsler geometry to alIow the study of, for example, metrical structures (i.e. energies) which are not homogeneous in these rates. Most Lagrangians arising in physics falI into this class, for example. Lagrange geometry and its applications in general relativity, unified field theories and re1ativistic optics has been developed mainly by R. Miron and his students and collaborators in Romania, while P. Antonelli and his associates have developed models in ecology, development and evolution and have rigorously laid the foundations ofFinsler diffusion theory 1] .
Описание: The collected works, in German, of the groundbreaking mathematician Bernhard Riemann (1826-66) first appeared in 1876. Included here is his famous 1854 lecture `On the hypotheses which underlie geometry`, which set in motion studies which culminated in Einstein`s general theory of relativity.
Автор: Shen Yi-Bing Et Al Название: Introduction To Modern Finsler Geometry ISBN: 9814713163 ISBN-13(EAN): 9789814713160 Издательство: World Scientific Publishing Цена: 6336.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Shen Yi-Bing Et Al Название: Introduction To Modern Finsler Geometry ISBN: 9814704903 ISBN-13(EAN): 9789814704908 Издательство: World Scientific Publishing Рейтинг: Цена: 10454.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Описание: This book gives an introduction to modern geometry. This second edition contains two additional, more advanced geometric techniques: the modern language and modern view of Algebraic Geometry and Mirror Symmetry.
Автор: G.S. Asanov Название: Finsler Geometry, Relativity and Gauge Theories ISBN: 9027719608 ISBN-13(EAN): 9789027719607 Издательство: Springer Рейтинг: Цена: 36570.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Zhongmin Shen Название: Differential Geometry of Spray and Finsler Spaces ISBN: 9048156734 ISBN-13(EAN): 9789048156733 Издательство: Springer Рейтинг: Цена: 13277.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: G.S. Asanov Название: Finsler Geometry, Relativity and Gauge Theories ISBN: 9401088535 ISBN-13(EAN): 9789401088534 Издательство: Springer Рейтинг: Цена: 36570.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Hanno Rund Название: The Differential Geometry of Finsler Spaces ISBN: 3642516122 ISBN-13(EAN): 9783642516122 Издательство: Springer Рейтинг: Цена: 11179.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
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