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Sub-Manifolds of a Locally Product Riemannian Manifold
Published online by Cambridge University Press: 20 November 2018
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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.
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- Research Article
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- 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