The Geometry of Higher-Order Hamilton Spaces, R. Miron

Автор: Valery V. Volchkov; Vitaly V. Volchkov
Название: Offbeat Integral Geometry on Symmetric Spaces
ISBN: 3034808003 ISBN-13(EAN): 9783034808002
Издательство: Springer
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Описание: This book surveys the development of integral geometry on domains of homogeneous spaces, covering analysis of multidimensional Euclidean domains and Riemannian symmetric spaces of arbitrary ranks as well as recent work on phase space and the Heisenberg group.

Автор: Thomas Peternell; Joichi Miyaoka
Название: Geometry of Higher Dimensional Algebraic Varieties
ISBN: 3764354909 ISBN-13(EAN): 9783764354909
Издательство: Springer
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Описание: Deals with the classification theory and geometry of higher dimensional varieties: existence and geometry of rational curves via characteristic p-methods, manifolds with negative Kodaira dimension, vanishing theorems, theory of extremal rays (Mori theory), and minimal models.

Автор: R. Miron
Название: The Geometry of Higher-Order Lagrange Spaces
ISBN: 079234393X ISBN-13(EAN): 9780792343936
Издательство: Springer
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Цена: 30327.00 р.
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Описание: Devoted to the problem of the geometrizing of Lagrangians which depend on higher-order accelerations, this volume presents a construction of the geometry of the total space of the bundle of the accelerations of order k>=1. It is suitable for scientists whose work involves differential geometry and mechanics of particles and systems.

Автор: R. Miron; Dragos Hrimiuc; Hideo Shimada; Sorin V.
Название: The Geometry of Hamilton and Lagrange Spaces
ISBN: 0792369262 ISBN-13(EAN): 9780792369264
Издательство: Springer
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Описание: It reveals new concepts and geometrical objects of Hamilton spaces that are dual to those which are similar in Lagrange spaces. Following this duality Cartan spaces introduced and studied in [98], [99],..., are, roughly speaking, the Legendre duals of certain Finsler spaces [98], [66], [67].

Автор: Vladimir Fock; Andrey Marshakov; Florent Schaffhau
Название: Geometry and Quantization of Moduli Spaces
ISBN: 3319335774 ISBN-13(EAN): 9783319335773
Издательство: Springer
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Цена: 4191.00 р.
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Описание: It presents both background information and recent developments on selected topics that are experiencing extraordinary growth within the broad research area of geometry and quantization of moduli spaces.

Автор: L. Schwartz; P.R. Chernoff
Название: Geometry and Probability in Banach Spaces
ISBN: 354010691X ISBN-13(EAN): 9783540106913
Издательство: Springer
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Автор: R. Miron
Название: The Geometry of Higher-Order Lagrange Spaces
ISBN: 9048147891 ISBN-13(EAN): 9789048147892
Издательство: Springer
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Описание: This monograph is mostly devoted to the problem of the geome- trizing of Lagrangians which depend on higher order accelerations. It naturally prolongs the theme of the monograph "The Geometry of La- grange spaces: Theory and Applications," written together with M. Anastasiei and published by Kluwer Academic Publishers in 1994. The existence of Lagrangians of order k > 1 has been contemplated by mechanicists and physicists for a long time. Einstein had grasped their presence in connection with the Brownian motion. They are also present in relativistic theories based on metrics which depend on speeds and accelerations of particles or in the Hamiltonian formulation of non- linear systems given by Korteweg-de Vries equations. There resulted from here the methods to be adopted in their theoretical treatment. One is based on the variational problem involving the integral action of the Lagrangian. A second one is derived from the axioms of Analytical Mechanics involving the Poincare-Cartan forms. The geometrical methods based on the study of the geometries of higher order could invigorate the whole theory. This is the way adopted by us in defining and studying the Lagrange spaces of higher order. The problems raised by the geometrization of Lagrangians of order k > 1 investigated by many scholars: Ch. Ehresmann, P. Libermann, J. Pommaret; J.T. Synge, M. Crampin, P. Saunders; G.S. Asanov, P.Aringazin; I. Kolar, D. Krupka; M. de Leon, W. Sarlet, P. Cantrjin, H. Rund, W.M. Tulczyjew, A. Kawaguchi, K. Yano, K. Kondo, D.

Автор: Tu, Loring W.
Название: Differential Geometry
ISBN: 3319550829 ISBN-13(EAN): 9783319550824
Издательство: Springer
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Описание: Over the past one hundred years, differential geometry has proven indispensable to an understanding of the physical world, in Einstein`s general theory of relativity, in the theory of gravitation, in gauge theory, and now in string theory.