K-接触流形上具有半对称非度量联络的若干几何孤子
K-contact manifolds admitting some geometric solitons with Semi-Symmetric Non-Metric Connection
- Jadavpur University（贾达普大学）
- The Bhawanipur Education Society College（巴瓦尼普尔教育协会学院）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本文研究K-接触流形上具有半对称非度量联络的几何性质，引入相关向量场，探讨Riemann、共形Ricci及共形$\eta$-Ricci-Yamabe孤子，并给出流形为多种半对称的充要条件。
AI中文摘要：
本文针对半对称非度量（SSNM）联络引入了一些类型的向量场。我们研究了配备SSNM联络的K-接触流形的若干几何性质，并给出了一个具体例子，以验证本文所获得的SSNM联络与Levi-Civita联络的标量曲率之间的关系。此外，我们探讨了在承认SSNM联络的K-接触流形上，Riemann孤子、共形Ricci孤子和共形$\eta$-Ricci-Yamabe孤子的性质。最后，我们确定了该流形为$\Tilde{\tau}$-半对称、拟共形半对称和伪射影半对称的充分必要条件。
英文摘要：
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.
