The Geometry Of Curvature Homogeneous Pseudo-riemannian Manifolds - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Geometry Of Curvature Homogeneous Pseudo-riemannian Manifolds write by Peter B Gilkey. This book was released on 2007-04-26. The Geometry Of Curvature Homogeneous Pseudo-riemannian Manifolds available in PDF, EPUB and Kindle. Pseudo-Riemannian geometry is an active research field not only in differential geometry but also in mathematical physics where the higher signature geometries play a role in brane theory. An essential reference tool for research mathematicians and physicists, this book also serves as a useful introduction to students entering this active and rapidly growing field. The author presents a comprehensive treatment of several aspects of pseudo-Riemannian geometry, including the spectral geometry of the curvature tensor, curvature homogeneity, and Stanilov-Tsankov-Videv theory./a
The Geometry of Curvature Homogeneous Pseudo-Riemannian Manifolds
The Geometry of Curvature Homogeneous Pseudo-Riemannian Manifolds - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Geometry of Curvature Homogeneous Pseudo-Riemannian Manifolds write by Peter B. Gilkey. This book was released on 2007. The Geometry of Curvature Homogeneous Pseudo-Riemannian Manifolds available in PDF, EPUB and Kindle. "Pseudo-Riemannian geometry is an active research field not only in differential geometry but also in mathematical physics where the higher signature geometries play a role in brane theory. An essential reference tool for research mathematicians and physicists, this book also serves as a useful introduction to students entering this active and rapidly growing field. The author presents a comprehensive treatment of several aspects of pseudo-Riemannian geometry, including the spectral geometry of the curvature tensor, curvature homogeneity, and Stanilov-Tsankov-Videv theory."--BOOK JACKET.
Introduction to Riemannian Manifolds
Introduction to Riemannian Manifolds - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to Riemannian Manifolds write by John M. Lee. This book was released on 2019-01-02. Introduction to Riemannian Manifolds available in PDF, EPUB and Kindle. This text focuses on developing an intimate acquaintance with the geometric meaning of curvature and thereby introduces and demonstrates all the main technical tools needed for a more advanced course on Riemannian manifolds. It covers proving the four most fundamental theorems relating curvature and topology: the Gauss-Bonnet Theorem, the Cartan-Hadamard Theorem, Bonnet’s Theorem, and a special case of the Cartan-Ambrose-Hicks Theorem.
Riemannian Manifolds
Riemannian Manifolds - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Riemannian Manifolds write by John M. Lee. This book was released on 2006-04-06. Riemannian Manifolds available in PDF, EPUB and Kindle. This text focuses on developing an intimate acquaintance with the geometric meaning of curvature and thereby introduces and demonstrates all the main technical tools needed for a more advanced course on Riemannian manifolds. It covers proving the four most fundamental theorems relating curvature and topology: the Gauss-Bonnet Theorem, the Cartan-Hadamard Theorem, Bonnet’s Theorem, and a special case of the Cartan-Ambrose-Hicks Theorem.
Semi-Riemannian Geometry With Applications to Relativity
Semi-Riemannian Geometry With Applications to Relativity - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Semi-Riemannian Geometry With Applications to Relativity write by Barrett O'Neill. This book was released on 1983-07-29. Semi-Riemannian Geometry With Applications to Relativity available in PDF, EPUB and Kindle. This book is an exposition of semi-Riemannian geometry (also called pseudo-Riemannian geometry)--the study of a smooth manifold furnished with a metric tensor of arbitrary signature. The principal special cases are Riemannian geometry, where the metric is positive definite, and Lorentz geometry. For many years these two geometries have developed almost independently: Riemannian geometry reformulated in coordinate-free fashion and directed toward global problems, Lorentz geometry in classical tensor notation devoted to general relativity. More recently, this divergence has been reversed as physicists, turning increasingly toward invariant methods, have produced results of compelling mathematical interest.
