Weak Nearly Sasakian and Weak Nearly Cosymplectic Manifolds

Vladimir Rovenski ()
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Vladimir Rovenski: Department of Mathematics, University of Haifa, Haifa 3498838, Israel

Mathematics, 2023, vol. 11, issue 20, 1-10

Abstract: Weak contact metric structures on a smooth manifold, introduced by V. Rovenski and R. Wolak in 2022, have provided new insight into the theory of classical structures. In this paper, we define new structures of this kind (called weak nearly Sasakian and weak nearly cosymplectic and nearly Kähler structures), study their geometry and give applications to Killing vector fields. We introduce weak nearly Kähler manifolds (generalizing nearly Kähler manifolds), characterize weak nearly Sasakian and weak nearly cosymplectic hypersurfaces in such Riemannian manifolds and prove that a weak nearly cosymplectic manifold with parallel Reeb vector field is locally the Riemannian product of a real line and a weak nearly Kähler manifold.

Keywords: weak nearly Sasakian manifold; weak nearly cosymplectic manifold; Killing vector field; hypersurface; weak nearly Kähler manifold (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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