Isometric Immersions and Embeddings of Locally Euclidean Metrics

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; 976-1-904868-62-0      270pp


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 Euclidean-space 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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