Work

K-contact manifolds admitting some geometric solitons with Semi-Symmetric Non-Metric Connection

Year: 2026

Type: preprint

Abstract: In this paper, we introduce some type vector fields with respect to a semi-symmetric non-metric (SSNM) connection. We investigate several geometric properties of a K-contact manifold equipped with an SSNM connection and provide a concrete example to justify the relation between the scalar curvature of the SSNM connection and Levi-Civita connection that we have obtained in this paper. Furthermore, we have found the nature of Riemann solitons, conformal Ricci solitons and conformal $η$-Ricci-Yamabe solitons on K-contact manifolds admitting a SSNM connection.\\ Finally, we determine the necessary and sufficient conditions for such a manifold to be $\Tildeτ$-semi-symmetric, quasi-conformal-semi-symmetric and pseudo-projective-semi-symmetric.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.15147

Authors: Mondal, Bidhan, Basu, Nirabhra, Bhattacharyya, Arindam

Institution: Jadavpur University

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: University Grants Commission

OpenAlex ID: W7213305946

Cites: 11

Cited by:

Related to: 10