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Matematicheskie Zametki, 2002, Volume 72, Issue 5, Pages 643–648
DOI: https://doi.org/10.4213/mzm451 (Mi mzm451) 		 
This article is cited in 1 scientific paper (total in 1 paper)

An Expression for the Riemann Tensor of a Submanifold Given by a System of Equations in a Riemannian Space

Yu. A. Aminov

Kharkiv State University
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DOI: https://doi.org/10.4213/mzm451
Abstract: We derive an expression for the Riemann tensor of a submanifold given implicitly by a system of independent equations in a Riemannian space. In particular, we prove a formula for the internal curvature of a two-surface in a three-dimensional Riemannian space. Some applications of the formula are given.
Received: 20.04.1999
English version:
Mathematical Notes, 2002, Volume 72, Issue 5, Pages 595–599
DOI: https://doi.org/10.1023/A:1021476702275
Bibliographic databases:
UDC: 517
Language: Russian
Citation: Yu. A. Aminov, “An Expression for the Riemann Tensor of a Submanifold Given by a System of Equations in a Riemannian Space”, Mat. Zametki, 72:5 (2002), 643–648; Math. Notes, 72:5 (2002), 595–599
Citation in format AMSBIB
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