The geometry of hamilton and lagrange spaces miron r shimada hideo hrimiuc dragos sabau sorin v
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Access codes may or may not work. The invariant metric tensors and fundamental frame fields are also found. The title of this book is no surprise for people working in the field of Analytical Mechanics. The geometry of nonholonomic bundle gerbes, provided with nonlinear connection structure, and nonholonomic gerbe modules is elaborated as the theory of Clifford modules on nonholonomic manifolds which positively fail to be spin. It reveals new concepts and geometrical objects of Hamilton spaces that are dual to those which are similar in Lagrange spaces. Convenient forms for extended Lorentz transformations are derived. About this Item: Springer, Netherlands, 2001.

We also propose a canonical scheme when geometrical objects on a pseudo Riemannian space are nonholonomically deformed into generalized Lagrange, or Finsler, configurations on the same manifold. They extend ordinary Lorentz transformations or pseudo-Riemannian rotations to the Finslerian approach. However, the geometric concepts of Lagrange space and Hamilton space are completely new. We elaborate on theories with Lagrangian densities containing massive graviton terms and bi-connection and bi-metric modifications which can be modelled as Finsler-Lagrange-Hamilton geometries. About this Item: Springer, Netherlands, 2001. Comment: latex2e, v3, published variant, with new S.

Item may show signs of shelf wear. The classical Legendre's duality makes possible a natural connection between Lagrange and - miltonspaces. It reveals new concepts and geometrical objects of Hamilton spaces that are dual to those which are similar in Lagrange spaces. Buy with confidence, excellent customer service!. Cartan spaces of order 2. May include supplemental or companion materials if applicable.

We investigate the main properties of generalized Fedosov nonholonomic manifolds and analyze exact solutions defining almost symplectic Einstein spaces. Such a canonically distinguished connection is with nontrivial torsion which is induced by some nonholonomy frame coefficients and generic off-diagonal terms of metrics. The title of this book is no surprise for people working in the field of Analytical Mechanics. However, the geometric concepts of Lagrange space and Hamilton space are completely new. We introduce the concept of Lagrange-Fedosov spaces and Fedosov nonholonomic manifolds provided with almost symplectic connection adapted to the nonlinear connection structure.

It is possible to define certain classes of adapted frames of reference when the Einstein equations for such an alternative connection transform into a system of partial differential equations which can be integrated in very general forms. The title of this book is no surprise for people working in the field of Analytical Mechanics. New technological advances have made it feasible to conduct measurements with precision levels which are suitable for experimental tests of the theory of general relativity. The classical Legendre's duality makes possible a natural connection between Lagrange and - miltonspaces. A large area of applicability of this geometry is suggested by the connections to Biology, Mechanics, and Physics and also by its general setting as a generalization of Finsler and Riemannian geometries. The main idea of this method is to introduce on pseudo Riemannian manifolds an alternative to the Levi-Civita connection metric compatible linear connection which is also completely defined by the same metric structure. However, the geometric concepts of Lagrange space and Hamilton space are completely new.

Generalized Hamilton spaces of order 2. The classical Legendre's duality makes possible a natural connection between Lagrange and - miltonspaces. About this Item: Springer, Netherlands, 2001. It reveals new concepts and geometrical objects of Hamilton spaces that are dual to those which are similar in Lagrange spaces. We review the current status of Finsler—Lagrange geometry and generalizations.

Finally, we consider some classes of exact solutions in string and Einstein gravity modeling Lagrange—Finsler structures with solitonic pp-waves and speculate on their physical meaning. The title of this book is no surprise for people working in the field of Analytical Mechanics. The classical Legendre's duality makes possible a natural connection between Lagrange and - miltonspaces. The goal is to aid non-experts on Finsler spaces, but physicists and geometers skilled in general relativity and particle theories, to understand the crucial importance of such geometric methods for applications in modern physics. Gravitation as a geometric phenomenon is considered along with the parametrized post-Newtonian formalism, the classical tests, tests of the strong equivalence principle, gravitational radiation as a tool for testing relativistic gravity, the binary pulsar, and cosmological tests. The dual bundle of a k-osculator bundle.

A large area of applicability of this geometry is suggested by the connections to Biology, Mechanics, and Physics and also by its general setting as a generalization of Finsler and Riemannian geometries. However, the geometric concepts of Lagrange space and Hamilton space are completely new. We explore an approach to such non-holonomic Dirac operators and derive the related Atiyah—Singer index formulas. However, the geometric concepts of Lagrange space and Hamilton space are completely new. The classical Legendre's duality makes possible a natural connection between Lagrange and - miltonspaces. The title of this book is no surprise for people working in the field of Analytical Mechanics. Such geometries with induced almost symplectic structure are modelled on nonholonomic manifolds provided with nonintegrable distributions defining nonlinear connections.

About this Item: Springer, 2001. The Einstein equivalence principle and the foundations of gravitation theory are considered, taking into account the Dicke framework, basic criteria for the viability of a gravitation theory, experimental tests of the Einstein equivalence principle, Schiff's conjecture, and a model theory devised by Lightman and Lee 1973. Pages may include limited notes and highlighting. A large area of applicability of this geometry is suggested by the connections to Biology, Mechanics, and Physics and also by its general setting as a generalization of Finsler and Riemannian geometries. Miron; Dragos Hrimiuc; Hideo Shimada; Sorin V. Comment: latex 2e, 11pt, 40 pages; it is a generalizaton with modified title, including proofs and additional results for higher dimensional gravity of the letter v1, on 14 pages; v4, with new abstract, modified title and up-dated references is accepted by Int. The duality between Lagrange and Hamilton spaces.

About this Item: Springer, 2001. Fundamental Theories of Physics 82 Kluwer, Dordrecht 1997; Zbl 0877. The title of this book is no surprise for people working in the field of Analytical Mechanics. Explicit representations for -rotations covering the future-time-like, space-like, past-time-like, or isotropic sectors can be obtained. This book has been designed to fill a new need for a complete treatment of techniques for analyzing gravitation theory and experience.