Geometric Realizations of Curvature

Released on by Miguel Brozos-Vázquez
preview-18

  • Geometric Realizations of Curvature Book Detail

  • Author : Miguel Brozos-Vázquez
  • Release Date : 2012
  • Publisher : World Scientific
  • Genre : Mathematics
  • Pages : 263
  • ISBN 13 : 1848167415
  • File Size : 70,70 MB
DOWNLOAD BOOK

Geometric Realizations of Curvature by Miguel Brozos-Vázquez PDF Summary

Book Description: A central area of study in Differential Geometry is the examination of the relationship between the purely algebraic properties of the Riemann curvature tensor and the underlying geometric properties of the manifold. In this book, the findings of numerous investigations in this field of study are reviewed and presented in a clear, coherent form, including the latest developments and proofs. Even though many authors have worked in this area in recent years, many fundamental questions still remain unanswered. Many studies begin by first working purely algebraically and then later progressing onto the geometric setting and it has been found that many questions in differential geometry can be phrased as problems involving the geometric realization of curvature. Curvature decompositions are central to all investigations in this area. The authors present numerous results including the Singer Thorpe decomposition, the Bokan decomposition, the Nikcevic decomposition, the Tricerri Vanhecke decomposition, the Gray Hervella decomposition and the De Smedt decomposition. They then proceed to draw appropriate geometric conclusions from these decompositions. The book organizes, in one coherent volume, the results of research completed by many different investigators over the past 30 years. Complete proofs are given of results that are often only outlined in the original publications. Whereas the original results are usually in the positive definite (Riemannian setting), here the authors extend the results to the pseudo-Riemannian setting and then further, in a complex framework, to para-Hermitian geometry as well. In addition to that, new results are obtained as well, making this an ideal text for anyone wishing to further their knowledge of the science of curvature.

Disclaimer: www.yourbookbest.com does not own Geometric Realizations of Curvature books pdf, neither created or scanned. We just provide the link that is already available on the internet, public domain and in Google Drive. If any way it violates the law or has any issues, then kindly mail us via contact us page to request the removal of the link.

Geometric Realizations of Curvature

Geometric Realizations of Curvature

File Size : 38,38 MB
Total View : 730 Views
DOWNLOAD

A central area of study in Differential Geometry is the examination of the relationship between the purely algebraic properties of the Riemann curvature tensor

Geometric Realizations Of Curvature

Geometric Realizations Of Curvature

File Size : 63,63 MB
Total View : 7000 Views
DOWNLOAD

A central area of study in Differential Geometry is the examination of the relationship between the purely algebraic properties of the Riemann curvature tensor

Geometry of Algebraic Curves

Geometry of Algebraic Curves

File Size : 40,40 MB
Total View : 8635 Views
DOWNLOAD

The second volume of the Geometry of Algebraic Curves is devoted to the foundations of the theory of moduli of algebraic curves. Its authors are research mathem

The Geometry of Walker Manifolds

The Geometry of Walker Manifolds

File Size : 80,80 MB
Total View : 2310 Views
DOWNLOAD

This book, which focuses on the study of curvature, is an introduction to various aspects of pseudo-Riemannian geometry. We shall use Walker manifolds (pseudo-R