논문KCI 등재
New Relationships involving the Mean Curvature of Slant Submanifolds in $S$-space-forms
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Abstract
Relationships between the Ricci curvature and the squared meancurvature and between the shape operator associated with the meancurvature vector and the sectional curvature function for slantsubmanifolds of an S-space-form are proved, particularizing themto invariant and anti-invariant submanifolds tangent to thestructure vector fields.
참고문헌 (12)
- "Geometry of manifolds with structural group {mathcal U", pp.155~ (1970)
- "Slant submanifolds in Sasakian manifolds", 42(1), pp.125~138 (2000)
- "New developments in slant submanifolds theory,Applicable Mathematics in the Golden Age", pp.339~356 (2002), Narosa Publishing House, New Delhi
- "B. Y. Chen's inequality for S-space-forms: applications to slant immersions", 34(9), pp.1287~1298 (2003)
- "Minimal slant submanifolds of the smallest dimension inS-manifolds", 21(1), pp.47~66 (2005)
- "Some slant submanifolds of S-manifolds", 107(4), pp.267~285 (2005)
- "Mean curvature and shape operator of isometric immersions in real-space-forms", 38(1), pp.87~97 (1996)
- "Relations between Ricci curvature and shape operator for submanifolds with arbitrary codimensions", 41(1), pp.33~41 (1999)
- "Invariant submanifolds of an f-manifold with complemented frames", pp.430~ (1972), Kodai Math. Sem. Rep. 24
- "Slant submanifolds in contact geometry", 39, pp.183~198 (1996)
- "Generic CR-submanifolds in S-manifolds", pp.435~ (1984)
- "Mean curvature and shape operator of slant immersions in a Sasakian space form", 7(1), pp.101~111 (2002)
관련 논문AI추천
Shape operator of slant submanifolds in Sasakian space forms김영호, 윤대원, 이철우대한수학회 · 대한수학회보2003 · 제40권 제1호Shape operator $A_{H}$ for slant submanifolds in generalized complex space forms김동수, 김영호, 이철우대한수학회 · 대한수학회보2005 · 제42권 제1호On slant curves in $S$-manifoldsCihan Ozgur, Saban Guvenc대한수학회 · 대한수학회논문집2018 · 제33권 제1호Ricci curvature of integral submanifolds of an $\mathcal{S}$-space form김정식, Mohit Kumar Dwivedi, Mukut Mani Tripathi대한수학회 · 대한수학회보2007 · 제44권 제3호Ricci curvature of submanifolds of an S-space form김정식, Mohit Kumar Dwivedi, Mukut Mani Tripathi대한수학회 · 대한수학회보2009 · 제46권 제5호Slant curves in 3-dimensional almost f-Kenmotsu manifolds이지은, Jun-ichi Inoguchi대한수학회 · 대한수학회논문집2017 · 제32권 제2호
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