Isometric Immersions and Embeddings of Locally Euclidean Metrics
£ 40.00
I. Kh. Sabitov, Moscow State University, Russia
The aim of this volume is to review the results on isometric immersions of locally Euclidean metrics in Euclidean spaces along with the description of the extrinsic geometry of these immersions.
2009 Pbk ISBN; 9761904868620 270pp
Description
The review begins with the consideration of a problem specific only for constant curvature metrics, namely the problem of “natural” realization of locally Euclidean metrics by Euclideanspace domains of corresponding dimension with the standard Euclidean metric and then studies their isometric immersions in Euclidean spaces of greater dimension with emphasis on the problems of smoothness
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