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PreprintCC BY 4.0arXiv

Hineva Inequality for Submanifolds of Real Space Forms with Semi-Symmetric Non-Metric Connection

  • M. S. Lone
  • M. A. Lone
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Abstract

In this paper, we establish the Hineva inequality for submanifolds of a real space form endowed with a semi-symmetric non-metric connection. We derive a sharp lower bound for the Ricci curvature of the submanifold in terms of the mean curvature vector and the squared norm of the second fundamental form. We apply this inequality to derive the Hineva inequality for several classes of submanifolds.

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Cite

BibTeXRIS
BibTeX
@misc{lone2026hineva,
  title = {{Hineva Inequality for Submanifolds of Real Space Forms with Semi-Symmetric Non-Metric Connection}},
  author = {M. S. Lone and M. A. Lone},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2606.05193},
  eprint = {2606.05193},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2606.05193},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Hineva Inequality for Submanifolds of Real Space Forms with Semi-Symmetric Non-Metric Connection
AU  - M. S. Lone
AU  - M. A. Lone
PY  - 2026
DA  - 2026/09/10
PB  - arXiv
DO  - 10.48550/arxiv.2606.05193
UR  - https://arxiv.org/abs/2606.05193
AB  - In this paper, we establish the Hineva inequality for submanifolds of a real space form endowed with a semi-symmetric non-metric connection. We derive a sharp lower bound for the Ricci curvature of the submanifold in terms of the mean curvature vector and the squared norm of the second fundamental form. We apply this inequality to derive the Hineva inequality for several classes of submanifolds.
ER  -