Submanifolds of a Conformal Sasakian manifold
Abstract
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
References
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).
Copyright (c) 2020 Boletim da Sociedade Paranaense de Matemática

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).
The journal utilize the Creative Common Attribution (CC-BY 4.0).