11 edition of **Calculus and Mechanics on Two-Point Homogenous Riemannian Spaces** found in the catalog.

- 4 Want to read
- 10 Currently reading

Published
**October 9, 2006** by Springer .

Written in English

- Calculus & mathematical analysis,
- Science,
- Science/Mathematics,
- Geometry - Differential,
- Mathematical Physics,
- Hamiltonian functions,
- Riemannian spaces,
- Science / Mathematical Physics,
- integrable systems,
- two-body problem,
- Mechanics - General,
- Quantum Theory

**Edition Notes**

Lecture Notes in Physics

The Physical Object | |
---|---|

Format | Hardcover |

Number of Pages | 257 |

ID Numbers | |

Open Library | OL12774210M |

ISBN 10 | 3540353844 |

ISBN 10 | 9783540353843 |

Calculus And Mechanics On Two-point Homogenous Riemannian Spaces By Alexey V $ Calculus And. Calculus And Mechanics On Two-point Homogenous Riemannian Spaces By Alexey V. Sh. $ Reconstructive Surgery. Reconstructive Surgery Of The Long Bones With Autogenous And Homogenous Grafts B. Several topics have been added, including an expanded treatment of pseudo-Riemannian metrics, a more detailed treatment of homogeneous spaces and invariant metrics, a completely revamped treatment of comparison theory based on Riccati equations, and a handful of new local-to-global theorems, to name just a few highlights. Differential geometry is a mathematical discipline that uses the techniques of differential calculus, integral calculus, linear algebra and multilinear algebra to study problems in theory of plane and space curves and surfaces in the three-dimensional Euclidean space formed the basis for development of differential geometry during the 18th century and the 19th century. In mathematics and physics, the Christoffel symbols are an array of numbers describing a metric connection. The metric connection is a specialization of the affine connection to surfaces or other manifolds endowed with a metric, allowing distances to be measured on that differential geometry, an affine connection can be defined without reference to a metric, and many additional.

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The present monograph gives a short and concise introduction to classical and quantum mechanics on two-point homogenous Riemannian spaces, with empahsis on spaces with constant curvature.

Calculus and Mechanics on Two-Point Homogenous Riemannian Spaces. Authors: Shchepetilov, Alexey V. Free Preview. Buy this book eB40 € price for Spain (gross) Buy eBook ISBN ; Digitally watermarked, DRM-free; Included format: PDF.

Abstract Citations (15) References Co-Reads Similar Papers Metrics Export Citation NASA/ADS. Calculus and Mechanics on Two-Point Homogenous Riemannian Spaces Shchepetilov, Alexey V.

Abstract. Publication: Lecture Notes in Physics, Berlin Springer by: Calculus and Mechanics on Two-Point Homogenous Riemannian Spaces Book Mathematics develops both due to demands of other sciences and due to its internal : Antonio Romano.

Download PDF: Sorry, we are unable to provide the full text but you may find it at the following location(s): (external link)Author: Alexey V Shchepetilov. It is Calculus and Mechanics on Two-Point Homogenous Riemannian Spaces book Riemann space and from the point of view of Riemannian geometry it is flat, complete, homogeneous and isotropic.

Moreover, a space with such properties is unique in every dimension. Therefore, Euclidean space is a suitable and historically the first area for constructing mechanical : Alexey V.

Shchepetilov. Kupte si knihu Calculus and Mechanics on Two-Point Homogenous Riemannian Spaces: Shchepetilov, Alexey V.: za nejlepší cenu se slevou. Podívejte se i na další z miliónů zahraničních knih v naší nabídce.

Zasíláme rychle a levně po ČR. The main characteristic for the system of two classical particles on a Riemannian space M is the distance between them. If the space Mis homogeneous and isotropic, this distance is the only Two-Body Hamiltonian on Two-Point Homogeneous Spaces | SpringerLinkAuthor: Alexey V.

Shchepetilov. Shchepetilov A.V. () Particle in a Central Field on Two-Point Homogeneous Spaces. In: Calculus and Mechanics on Two-Point Homogenous Riemannian Spaces. Lecture Notes in Physics, vol Author: Alexey V.

Shchepetilov. Simply connected constant curvature spheres Sn and hyperbolic spaces Hn are rep-resentatives of the class of two-point homogeneous Riemannian spaces (TPHRS). Such spaces are characterized by the property that any pair of points can be transformed by means of an appropriate isometry to any other pair of points with the same distance between them.

Two-point homogeneous Riemannian spaces --Differential operators on smooth manifolds --Algebras of invariant differential operators on unit sphere bundles over two-point homogeneous Riemannian spaces --Hamiltonian systems with symmetry --Two-body hamiltonian on two-point homogeneous spaces --Particle in a central field on two-point homogeneous spaces --Classical two-body problem on two-point homogeneous Riemannian spaces.

Abstract. In this chapter we study the algebra Diff I (QS) of invariant differential operators on the unit sphere bundle QS over a two-point homogeneous Riemannian space we construct a system of generators and relations for these algebras. These generators will appear in Chap. 5 in explicitly invariant expressions of two-body Hamiltonian operators H on the space by: 2.

Fundamental introduction for beginning student of absolute differential calculus and for those interested in applications of tensor calculus to mathematical physics and engineering.

Topics include spaces and tensors; basic operations in Riemannian space, curvature of space, special types of space, relative tensors, ideas of volume, and more.2/5(1). Calculus and mechanics on two-point homogenous Riemannian spaces. [Alexey V Shchepetilov] -- "The present monograph gives a short and concise introduction to classical and quantum mechanics on two-point homogenous Riemannian spaces, with emphasis on spaces with constant curvature.".

Calculus and Mechanics on Two-Point Homogenous Riemannian Spaces Book Mathematics develops both due to demands of other sciences and due to its internal logic. Tensor Calculus contains eight chapters.

The first four deal with the basic concepts of tensors, Riemannian spaces, Riemannian curvature, and spaces of constant curvature.

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From the Back Cover. Differentiable manifolds and the differential and integral calculus of their associated structures, such as vectors, tensors, and differential forms are of great importance in many areas of mathematics and its applications.

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It covers a wide variety of research topics, from differential geometry to algebra, but particularly focuses on the geometric formulation of variational calculus; geometric mechanics and field theories; symmetries and conservation laws of differential equations, and pseudo-Riemannian geometry of homogeneous : Paperback.

Assuming that you have learned it somewhere else (maybe in Grinfeld or in Lebedev and Cloud), it can be a very nice introduction to Riemannian geometry, especially for physics students studying GR.

It particularly excels other books in the account of parallel by: Buy Geometry, Algebra and Applications: From Mechanics to Cryptography (Springer Proceedings in Mathematics & Statistics) on FREE SHIPPING on qualified orders.

A homogeneous Riemannian space with a solvable group of motions always has a non-positive scalar curvature, and the case is possible only for locally Euclidean spaces. Any invariant Riemannian metric on a simply-connected homogeneous Riemannian space has non-positive scalar curvature if and only if is a maximal compact subgroup of (see).

Differential Geometry Lecture Notes. This book covers the following topics: Smooth Manifolds, Plain curves, Submanifolds, Differentiable maps, immersions, submersions and embeddings, Basic results from Differential Topology, Tangent spaces and tensor calculus, Riemannian.

Calculus and Mechanics on Two-Point Homogenous Riemannian Spaces. Alexey V. Shchepetilov. Calculus and Mechanics on Two-Point Homogenous Riemannian Spaces.

The book is addressed to scholars and researchers in differential geometry and mathematical physics, as well as to advanced graduate students who have studied the material covered in.

This book is a relatively easy-to-read and carefully motivated text on tensor calculus, a subject that does tend to lead to that eye-glazing-over effect because of the numerous indices. It does a very good job of keeping the focus on the concepts, /5(13).

Calculus and mechanics on two-point homogenous Riemannian spaces () Computers, rigidity, and moduli () Complex, contact, and symmetric manifolds ().

Applications of the Tensor Calculus to Elasticity Theory Homogeneous and Isotropic Strains, Strain Invariants, and Variation of Strain Tensor Stress Tensor, Elastic Potential, and Stress-Strain Relations Tensor Calculus in Riemannian Spaces and the Fundamentals of Classical Mechanics Pages: Textbook of DIFFERENTIAL CALCULUS: Edition 2 - Ebook written by Akhtar & Ahsan.

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Calculus and Mechanics on Two-Point Homogenous Riemannian Spaces. Calculus and Mechanics on Two-Point Homogenous Riemannian Spaces. Verlag: Hachette Book Group USA; Seitenzahl: ; Erscheinungstermin: Juni ; Englisch; Abmessung: mm x.

from multivariable calculus, plus a little knowledge of linear algebra, the classical differential geometry of curves and surfaces in Euclidean space, then leads to an introduction to the Riemannian geometry of more general manifolds, including a look Hamiltonian systems, and homogeneous geodesics in homogeneous spaces.

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