On Conformal Mapping in the Quasi-Einstein Manifolds

Dhair, Prasanta; Jana, Sanjib Kumar

doi:10.18052/www.scipress.com/BMSA.9.72

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On Conformal Mapping in the Quasi-Einstein Manifolds

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Abstract:

In this paper we have shown the existence of conformal mapping from quasi-Einstein Manifold to Einstein manifold.

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Periodical:

Bulletin of Mathematical Sciences and Applications (Volume 9)

Pages:

72-78

DOI:

https://doi.org/10.18052/www.scipress.com/BMSA.9.72

Citation:

P. Dhair and S. K. Jana, "On Conformal Mapping in the Quasi-Einstein Manifolds", Bulletin of Mathematical Sciences and Applications, Vol. 9, pp. 72-78, 2014

Online since:

August 2014

Authors:

Prasanta Dhair, Sanjib Kumar Jana

Keywords:

Conformal Mapping, Einstein Manifold, Quasi-Einstein Manifold

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Open Access

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Creative Commons Attribution 4.0 International License

References:

Besse, A. L., Einstein Manifold, Springer-Verlag, (1987).

Chaki, M. C. and Maity, R. K.: On quasi-Einstein manifolds, Publ. Math. Debrecen, 57, pp.297-306 (2000).

Deszcz, R., Hotlo´s, M. and Sent¨urk, Z.: Quasi-Einstein hypersurfaces in semi-Riemannian space forms, Colloq. Math., 81, pp.81-97(2001).

Jana, S. K. and Shaikh, A. A.: On quasi-Einstein spacetime with space-matter tensor, Lobachevskii J. Math., 33(3), pp.255-261(2012).

Petrov, A. Z. : Einstein Spaces, Pergamon Press, Oxford, (1949).

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