التفاصيل البيبلوغرافية
| العنوان: |
Geometric properties of submanifolds of a Riemannian manifold in tangent bundles. |
| المؤلفون: |
Islam Khan, Mohammad Nazrul, Fatima, Nahid, Al Eid, Afifah, Chaturvedi, B. B., Saxena, Mohit |
| المصدر: |
Results in Nonlinear Analysis; 2024, Vol. 7 Issue 2, p140-153, 14p |
| مصطلحات موضوعية: |
TANGENT bundles, SUBMANIFOLDS, RIEMANNIAN manifolds, GEODESICS, EQUATIONS |
| مستخلص: |
The authors consider a quarter-symmetric semi-metric (QSSM) connection in the tangent bundle and study the connection on submanifold of co-dimension 2 and hypersurface concerning the QSSM connection in the tangent bundle. Totally geodesic (TG), totally umbilical (TU), Gauss, Weingarten and Codazzi equations concerning the QSSM connection on submanifold of co-dimension 2 and hypersurface in the tangent bundle are obtained. Finally, we deduce Riemannian curvature tensor, Gauss and Codazzi equations on a submanifold of co-dimension 2 and hypersurface of Riemannian manifold concerning the quarter symmetric semi-metric connection in the tangent bundle. [ABSTRACT FROM AUTHOR] |
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