On Some Categories of Riemannian Manifolds

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Authors

  • R. B. Yadav
     ,IN

DOI:

https://doi.org/10.18311/jims/2019/22525

Keywords:

Riemannian Manifolds, Morphisms, Category

Abstract

In this article we introduce two categories of Riemannian manifolds. We also study some properties of such categories and compare them with the previously known categories.

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Published

2018-12-12

How to Cite

Yadav, R. B. (2018). On Some Categories of Riemannian Manifolds. The Journal of the Indian Mathematical Society, 86(1-2), 199–210. https://doi.org/10.18311/jims/2019/22525

Issue

Volume 86, Issue 1-2, January-June 2019

Section

Articles

License

Copyright (c) 2018 R. B. Yadav

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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Received 2018-10-17
Accepted 2023-01-30
Published 2018-12-12

 

References

R. B. Yadav, Srikanth K. V., Conformal riemannian morphisms between riemannian manifolds, https://arxiv.org/abs/1804.06569,(2018).

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Bayram Sahin, Conformal riemannian maps between riemannian manifolds, their harmonicity and decomposition theorems, Acta Applicandae Mathematicae, 109 (2010), 829-847.

L. Conlon, Dierentiable Manifolds, Birkhauser, Boston, (2008).

John M. Lee, Introduction to Smooth Manifolds, Springer-Verlag, (2003).

S. Mac Lane, Categories for the Working Mathematicians, Springer, New York, (1998).