Article
Version 1
Preserved in Portico This version is not peer-reviewed
Weak Nearly Sasakian and Weak Nearly Cosymplectic Manifolds
Version 1
: Received: 15 September 2023 / Approved: 15 September 2023 / Online: 18 September 2023 (14:19:55 CEST)
A peer-reviewed article of this Preprint also exists.
Rovenski, V. Weak Nearly Sasakian and Weak Nearly Cosymplectic Manifolds. Mathematics 2023, 11, 4377. Rovenski, V. Weak Nearly Sasakian and Weak Nearly Cosymplectic Manifolds. Mathematics 2023, 11, 4377.
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 K\"{a}hlerian structures) and study their geometry.
We introduce weak nearly K\"{a}hlerian manifolds (generalizing nearly K\"{a}hlerian manifolds) and characterize weak nearly Sasakian and weak nearly cosymplectic hypersurfaces in such Riemannian manifolds.
Keywords
n/a; weak nearly Sasakian manifold; weak nearly cosymplectic manifold; Killing vector field; hypersurface
Subject
Computer Science and Mathematics, Geometry and Topology
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Comments (0)
We encourage comments and feedback from a broad range of readers. See criteria for comments and our Diversity statement.
Leave a public commentSend a private comment to the author(s)
* All users must log in before leaving a comment
