Conformal Differential Geometry and Its Generalizations

by Akivis, Maks A.; Goldberg, Vladislav V.

• ISBN13: 9780471149583
• ISBN10: 0471149586
• Edition: 1st
• Format: Hardcover
• Copyright: 1996-09-06
• Publisher: Wiley-Interscience

Summary

This volume is intended for graduate students and researchers of differential geometry. It can be especially useful to those students and researchers who are interested in conformal and Grassmann differential geometry and their applications to theoretical physics.

Author Biography

Maks A. Akivis is Professor of Mathematics at the Ben-Gurion University of the Negev in Beer-Sheva, Israel, and at the Moscow Institute of Steel and Alloys in Russia.<br> <br> Vladislav V. Goldberg is Distinguished Professor of Mathematics at the New Jersey Institute of Technology in Newark.<br> <br> ivis and Dr. Goldberg are the authors of numerous papers, many of which they wrote jointly. They are the authors of the book Tensor Calculus and the monograph Projective Differential Geometry of Submanifolds. In addition, Dr. Akivis is a coauthor of the monograph Geometry and Algebra of Multidimensional Three-Webs and the book Elie Cartan (1869-1951), and Dr. Goldberg is the author of the monograph Theory of Multicodimensional (n+1)-Webs.

Table of Contents

Conformal and Pseudoconformal Spaces.

Hypersurfaces in Conformal Spaces.

Submanifolds in Conformal and Pseudoconformal Spaces.

Conformal Structures on a Differentiable Manifold.

The Four-Dimensional Conformal Structures.

Geometry of the Grassmann Manifold.

Manifolds Endowed with Almost Grassmann Structures.

Bibliography.

Symbols Frequently Used.

Indexes.