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On quasi Einstein manifolds

Uday Chand De|Biman Kanti De
대한수학회 (The Korean Mathematical Society)|2008.07|대한수학회논문집 (Communications of the KMS)|제23권 제3호|pp. 413-420

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참고문헌

키워드

quasi Einstein manifoldscyclic Ricci tensorKilling vector field
주제분류수학

초록

The object of the present paper is to study some properties of a quasi Einstein manifold. A non-trivial concrete example of a quasi Einstein manifold is also given.

Abstract

The object of the present paper is to study some properties of a quasi Einstein manifold. A non-trivial concrete example of a quasi Einstein manifold is also given.

참고문헌 (15)

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  3. M. C. Chaki, "On generalized quasi-Einstein manifolds", Publ. Math. Debrecen, 58, pp.683~691 (2001)
  4. U. C. De, "On quasi Einstein and special quasi Einstein manifolds", Proc. of the Int. Conf. of Mathematics and its applications, pp.178~191 (2004), Kuwait University
  5. U. C. De, "On quasi-Einstein manifolds, Periodica Math", Hungarica, 48, pp.223~231 (2004)
  6. U. C. De, "On conformally flat special quasi-Einstein manifolds", Publ. Math. Debrecen, 66, pp.129~136 (2005)
  7. R. Deszcz, "On certain quasi-Einstein semisymmetric hypersurfaces, Annales Univ. Sci. Budapest", Eotovos Sect. Math, 41, pp.151~164 (1998)
  8. R. Deszcz, "On curvature properties of quasi-Einstein hypersurfaces in semi-Euclidean spaces", Soochow J. Math, 27, pp.375~389 (2001)
  9. D. Ferus, "A remark on Codazzi tensors in constant curvature space, Lecture note in Mathematics, 838, Global Differential Geometry and Global Analysis", pp.257~ (1981), Springer Verlag
  10. S. R. Guha, "On quasi-Einstein and generalized quasi-Einstein manifolds", Facta Universitatis, 3, pp.821~842 (2003)
  11. U. H. Ki, "A characterization of the Cartan hypersurfaces in a sphere", Tohoku Math. J, 39, pp.27~40 (1987)
  12. M. Obata, "Certain conditions for a Riemannian manifold to be isometric with a sphere", J. Math. Soc. Japan, 14, pp.333~340 (1962)
  13. M. Obata, "Conformal transformations in Riemannian manifolds", Sigaku Math. Soc. Japan, 14, pp.152~164 (1963)
  14. M. Obata, "Riemannian manifolds admitting a solution of certain system of differential equations", Proc. United States-Japan Seminar in Differential Geometry, pp.101~114 (1965)
  15. K. Yano, "Integral Formulas in Riemannian Geometry" (1970), Marcel Dekker

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