Singular Semi-Riemannian Geometry (Mathematics and Its Applications (closed)) [Hardcover]

D.N. Kupeli (Author)

Book Description

Publication Date: April 30, 1996 | ISBN-10: 0792339967 | ISBN-13: 978-0792339960 | Edition: 1

This volume is an exposition of singular semi-Riemannian geometry, i.e. the study of a smooth manifold furnished with a degenerate (singular) metric tensor of arbitrary signature. The main topic of interest is those cases where metric tensors are assumed to be nondegenerate. In the literature manifolds with degenerate metric tensors have been studied extrinsically as degenerate submanifolds of semi-Riemannian manifolds. Here, the intrinsic structure of a manifold with a degenerate metric tensor is studied first, and then it is studied extrinsically by considering it as a degenerate submanifold of a semi-Riemannian manifold. The book is divided into three parts. The four chapters of Part I deal with singular semi-Riemannian manifolds. Part II is concerned with singular Kähler manifolds in four chapters parallel to Part I. Finally, Part III consists of three chapters treating singular quaternionic Kähler manifolds. Audience: This self-contained book will be of interest to graduate students of differential geometry, who have some background knowledge on the subject of complex manifolds already.

Product Details

• Hardcover: 192 pages
• Publisher: Springer; 1 edition (April 30, 1996)
• Language: English
• ISBN-10: 0792339967
• ISBN-13: 978-0792339960
• Product Dimensions: 9.3 x 6.1 x 0.7 inches
• Shipping Weight: 1 pounds (View shipping rates and policies)
• Amazon Best Sellers Rank: #6,511,482 in Books (See Top 100 in Books)

More About the Author

Discover books, learn about writers, read author blogs, and more.