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PreprintarXiv licencearXiv

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

  • Bidhan Mondal
  • Nirabhra Basu
  • Arindam Bhattacharyya
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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.

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Cite

BibTeXRIS
BibTeX
@misc{mondal2026kcontact,
  title = {{K-contact manifolds admitting some geometric solitons with Semi-Symmetric Non-Metric Connection}},
  author = {Bidhan Mondal and Nirabhra Basu and Arindam Bhattacharyya},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.15147},
  eprint = {2609.15147},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.15147},
}
RIS
TY  - UNPB
TI  - K-contact manifolds admitting some geometric solitons with Semi-Symmetric Non-Metric Connection
AU  - Bidhan Mondal
AU  - Nirabhra Basu
AU  - Arindam Bhattacharyya
PY  - 2026
DA  - 2026/09/14
PB  - arXiv
DO  - 10.48550/arxiv.2609.15147
UR  - https://arxiv.org/abs/2609.15147
AB  - 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.
ER  -