Submanifolds of a Conformal Sasakian manifold

Resumo

In the present paper, some results on geometry of conformal Sasakian manifolds and their associated submanifolds are provided. Besides this an example of a three-dimensional conformal Sasakian manifold is constructed for illustration that is not Sasakian manifold.

Downloads

Não há dados estatísticos.

Referências

Blair, D. E., Riemannian geometry of contact and symplectic manifolds, Birkhauser, BostonBasel-Berlin, 2002.

Dragomir, S., Ornea, L., Locally conformal Kaehler Geometry, Prog. Math. V 155, (1998).

Libermann, P., Sur les structures infinitesimales regulieres, Bull Soc. Math. France, V. 83, 195-224, (1955).

Vaisman, I., A geometric condition for a locally conformal kaehler to be kaehler. Geom. Dedicata., 10, 129-136, 1981).

Tricerri, F., Some examples of locally conformal Kaehler manifolds. Rend. Mat. Univ. Politecn. Torino., 40, 81-92, (1982).

Abedi, E., Ziabari, R. B., Tripathi, M. M., Ricci and scalar curvatures of submanifolds of a conformal Sasakian space form, Archivum Mathematicum (Brno) Tomus, 52, 113-130, (2016).

Gray, A., Hervella, L. M., Sixteen classes of almost Hermitian manifold and their linear invariants, Ann. Math. Pure Appl., 123 (3), 35-58, (1980).

Publicado
2020-10-07
Seção
Artigos