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Sub-Manifolds of a Locally Product Riemannian Manifold

Published online by Cambridge University Press:  20 November 2018

R. S. Mishra
R. S. Mishra*
Affiliation:
University of Waterloo
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In this paper, we have obtained the conditions that a sub-manifold of a locally product Riemannian manifold may also be locally product. Generalizations of the equations of Gauss, Mainardi-Codazzi and Ricci have been obtained for the locally product sub-manifold of the locally product Riemannian manifold.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 11 , Issue 3 , August 1968 , pp. 423 - 435
Copyright
Copyright © Canadian Mathematical Society 1968

References

1. Mishra, R. S.,A course in tensors with applications to Riemannian geometry. Pothishala Private Ltd., Allahabad, India, (1965).Google Scholar