» » Pseudo-Riemannian Homogeneous Structures FreeCourseWeb

Download Pseudo-Riemannian Homogeneous Structures FreeCourseWeb

Download Pseudo-Riemannian Homogeneous Structures FreeCourseWeb
19.5 MB
E-Books
Language: English
Category: E-Books
Title: Pseudo-Riemannian Homogeneous Structures
Rating: 4.6
Votes: 709
Downloads: 17
Size:
19.5 MB

Files

  • [ FreeCourseWeb.com ] Pseudo-Riemannian Homogeneous Structures.zip (19.5 MB)

Info

Pseudo-Riemannian Homogeneous Structures. Book · January 2019 with 1 Reads. This book provides an up-to-date presentation of homogeneous pseudo-Riemannian structures, an essential tool in the study of pseudo-Riemannian homogeneous spaces.

Pseudo-Riemannian Homogeneous Structures. How we measure 'reads'. Benefiting from large symmetry groups, these spaces are of high interest in Geometry and Theoretical Physics. Since the seminal book by Tricerri and Vanhecke, the theory of homogeneous structures has been considerably developed and many applications have been found.

We construct homogeneous at pseudo-Riemannian manifolds with . In this note, we present some additional new results on the structure of at pseudo-Riemannian homogeneous manifolds.

We construct homogeneous at pseudo-Riemannian manifolds with non-abelian fundamental group. In the compact case, all homogeneous at pseudo-Riemannian manifolds are complete and have abelian linear holonomy group. A at pseudo-Riemannian manifold M is called homogeneous if its isometry group acts transitively. As examples show, non-compact at pseudo-Riemann-ian homogeneous manifolds manifolds are not necessarily complete. Authors: Calvaruso, Giovanni, Lopez, Marco Castrillon. First book on homogeneous pseudo-Riemannian structures. Covers the developments of the past 35 years up to the current state of the art. Important to the study of homogenous spaces.

oceedings{PS, title {Homogeneous pseudo-Riemannian structures of linear type}, author {Wafaa Batat and Pedro M. Gadea and Jose Antonio Oubi{~n}a}, year {2011} }. Wafaa Batat, Pedro M. Gadea, Jose Antonio Oubiña. In the Riemannian case, they furnish characterisations of the real, complex and quaternionic hyperbolic spaces. In the Lorentzian case, a related class gives characterisations of singular homogeneous plane waves.

Flat Homogeneous Pseudo-Riemannian Manifolds

Flat Homogeneous Pseudo-Riemannian Manifolds. JOSEPH A. WOLF Ddpartement de Math~matiques et d'Informatique, Universitd de Metz, Ile de SauIcy, F-57045 Metz Cedex 1, France. Received: 12 July 1994). Let M be a complete flat pseudo-Riemannian manifold, say with metric of signature (p, q). Then M can be realized as a quotient EP,q/F, where F is a subgroup of the isometry group I ( ~, q ) ~- ]~P,q, O(p, q) that acts freely and properly discontinuously on EP,q. Here ~P,q is the closed normal subgroup of the isometry. group that consists of Euclidean translations, we implicitly choose an origin in 0 E EP,q, and the stabilizer of 0 is the orthogonal group O(p, q) of b.

In differential geometry, a pseudo-Riemannian manifold, also called a semi-Riemannian manifold, is a differentiable manifold with a metric tensor that is everywhere nondegenerate. This is a generalization of a Riemannian manifold in which the requirement of s is relaxed. Every tangent space of a pseudo-Riemannian manifold is a pseudo-Euclidean vector space.

Homogeneous pseudo-Riemannian structures of linear type Four-dimensional pseudo-Riemannian homogeneous Ricci solitons. International Journal of Geometric Methods in Modern Physics, Vol. 12, Issue.

Homogeneous pseudo-Riemannian structures of linear type. Journal of Geometry and Physics, Vol. 61, Issue. Four-dimensional pseudo-Riemannian homogeneous Ricci solitons.

A homogeneous pseudo-Riemannian structure on ∇−S (M, g) is a tensor field S of type (1, 2) on M such that the .

A homogeneous pseudo-Riemannian structure on ∇−S (M, g) is a tensor field S of type (1, 2) on M such that the connection ∇ satisfies 0, ∇g 0, ∇R 0. ∇S (. ) If g is a Lorentzian metric (k 1), we say that S is a homogeneous Lorentzian structure. Let (M, g) be a pseudo-Riemannian manifold and S a hoS mogeneous pseudo-Riemannian structure on M. The forms Q2r −1 (M, g), for each 3 ≤ 2r −1 ≤ dim M, are called Chern-Simons forms of pseudo-Riemannian homogeneity (or simply forms of homogeneity) on (M, g, S). The corresponding S real cohomology classes.

For nonreductive homogeneous pseudo-Riemannian manifolds, see for instance Fels and Renner . .

For nonreductive homogeneous pseudo-Riemannian manifolds, see for instance Fels and Renner, Figueroa-O’Farrill, Meessen and Philip, and Duˇsek. In the present paper, we consider homogeneous pseudo-Riemannian structures on homogeneous pseudo-Riemannian manifolds. In, the following denition is given: Denition . A homogeneous pseudo-Riemannian structure on a pseudo- Rieman-nian manifold (M, g) is a tensor eld T of type (1, 2) on M, such that the connection ∇˜ ∇ − T satises ∇˜ g 0, ∇˜ R 0, ∇˜ T 0, where ∇ denotes the Levi-Civita connection.

[ FreeCourseWeb.com ] Pseudo-Riemannian Homogeneous Structures
Download More Latest Stuff Visit -->>https://FreeCourseWeb.com

English | ISBN: 3030181510 | 2019 | 230 pages | EPUB, PDF | 19 MB + 3 MB
This book provides an up-to-date presentation of homogeneous pseudo-Riemannian structures, an essential tool in the study of pseudo-Riemannian homogeneous spaces. Benefiting from large symmetry groups, these spaces are of high interest in Geometry and Theoretical Physics.
Since the seminal book by Tricerri and Vanhecke, the theory of homogeneous structures has been considerably developed and many applications have been found. The present work covers a gap in the literature of more than 35 years, presenting the latest contributions to the field in a modern geometric approach, with special focus on manifolds equipped with pseudo-Riemannian metrics.
This unique reference on the topic will be of interest to researchers working in areas of mathematics where homogeneous spaces play an important role, such as Differential Geometry, Global Analysis, General Relativity, and Particle Physics.
Use Winrar to Extract. And use a shorter path when extracting, such as C: drive
ALSO ANOTHER TIP: You Can Easily Navigate Using Winrar and Rename the Too Long File/ Folder Name if Needed While You Cannot in Default Windows Explorer. You are Welcome ! :)

Download More Latest Stuff Visit -->>https://FreeCourseWeb.com
Get Latest Apps Tips and Tricks -->>https://AppWikia.com
We upload these learning materials for the people from all over the world, who have the talent and motivation to sharpen their skills/ knowledge but do not have the financial support to afford the materials. If you like this content and if you are truly in a position that you can actually buy the materials, then Please, we repeat, Please, Support Authors. They Deserve it! Because always remember, without "Them", you and we won't be here having this conversation. Think about it! Peace...

https://sanet.pics/storage-5/0819/4FFGvq84S1DzmpFeXtSwplaXScmm4lh9.jpg|https://i.postimg.cc/BbFfYY7m/gVgxPeE.gif|https://i.postimg.cc/NM5cTf6q/aLYFSag.gif

Pseudo-Riemannian Homogeneous Structures FreeCourseWeb