Research Article
Year 2022,
Volume: 3 Issue: 2, 119 - 131, 28.07.2022
Abstract
In this paper, we classify quasi-conformally flat generalized Sasakian-space forms under the assumption that the characteristic vector field is Killing. Also we classify quasi-conformally Weyl-symmetric generalized Sasakian-space forms.
References
- Alegre P., Blair D., Carriazo A., Generalized Sasakian-space forms, Israel Journal of Mathematics, 141, 157-183, 2004.
- Blair D., Riemannian Geometry of Contact and Sympletic Manifolds, Birkhauser, 2002.
- Derdzinski A., Some remarks on the local structure of Codazzi tensors, Lecture Notes in Mathematics, 838, 251-255, 1981.
- Derdzinski A., Classification of certain compact Riemannian manifolds with harmonic curvature and non-parallel Ricci tensor, Mathematische Zeitschrift, 172, 273-280, 1980.
- Kim U.K., Conformally flat generalized Sasakian-space forms and locally symmetric generalized Sasakian space-forms, Note di Matematica, 26, 55-67, 2006.
- Ludden G., Submanifolds of cosymplectic manifolds, Journal of Differential Geometry, 4, 237-244, 1970.
- Sarkar A., De U.C., Some curvature properties of generalized Sasakian-space forms, Lobashevskii Journal of Mathematics, 33, 22-27, 2012.
- Yano K., Sawaki S., Riemannian manifolds admitting a conformal transformation group, Journal of Differential Geometry, 2, 161-184, 1968.
Year 2022,
Volume: 3 Issue: 2, 119 - 131, 28.07.2022
Abstract
References
- Alegre P., Blair D., Carriazo A., Generalized Sasakian-space forms, Israel Journal of Mathematics, 141, 157-183, 2004.
- Blair D., Riemannian Geometry of Contact and Sympletic Manifolds, Birkhauser, 2002.
- Derdzinski A., Some remarks on the local structure of Codazzi tensors, Lecture Notes in Mathematics, 838, 251-255, 1981.
- Derdzinski A., Classification of certain compact Riemannian manifolds with harmonic curvature and non-parallel Ricci tensor, Mathematische Zeitschrift, 172, 273-280, 1980.
- Kim U.K., Conformally flat generalized Sasakian-space forms and locally symmetric generalized Sasakian space-forms, Note di Matematica, 26, 55-67, 2006.
- Ludden G., Submanifolds of cosymplectic manifolds, Journal of Differential Geometry, 4, 237-244, 1970.
- Sarkar A., De U.C., Some curvature properties of generalized Sasakian-space forms, Lobashevskii Journal of Mathematics, 33, 22-27, 2012.
- Yano K., Sawaki S., Riemannian manifolds admitting a conformal transformation group, Journal of Differential Geometry, 2, 161-184, 1968.
There are 8 citations in total.
Details
| Primary Language | English |
|---|---|
| Subjects | Mathematical Sciences |
| Journal Section | Research Articles |
| Authors | |
| Publication Date | July 28, 2022 |
| Published in Issue | Year 2022 Volume: 3 Issue: 2 |
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