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Some inequalities on totally real submanifolds in locally conformal Kaehler space forms

김영호|윤대원|AlfonsoCarriazo
대한수학회 (The Korean Mathematical Society)|2004.09|대한수학회지 (Journal of the KMS)|제41권 제5호|pp. 795-808

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참고문헌

키워드

sectional curvaturemean curvatureshape operatorlocally conformal Kaehler space formk-Ricci curvaturetotally real submanifold.
주제분류수학

초록

In this article, we establish sharp relations between thesectional curvature and the shape operator and also between thek-Ricci curvature and the shape operator for a totally real submanifoldin a locally conformal Kaehler space form of constant holomorphicsectional curvature with arbitrary codimension.

Abstract

In this article, we establish sharp relations between the sectional curvature and the shape operator and also between the k-Ricci curvature and the shape operator for a totally real submanifold in a locally conformal Kaehler space form of constant holomorphic sectional curvature with arbitrary codimension.

참고문헌 (6)

  1. B.-Y. Chen, "Mean curvature and shape operator of isometric immersions in real-space-forms", 38, pp.87~97 (1996)
  2. null, "Relations between Rici curvature and shape operator for submanifoldswith arbitrary codimensions", 41, pp.33~41 (1999)
  3. T. Kashiwada, "Some properties of localy conformal Kahler manifolds Shape operator of slant submanifolds inSasakian spaces", pp.6376~
  4. "An obstruction to the existence of minimal totallyreal immersions in a localy conformal Kahler space form", 14(2), pp.83~87 (1997)
  5. "Shape operatorAH for slant submanifoldsin complex space forms", 14(4), pp.169~177 (2000)
  6. "On localy conformal Kahler manifolds", 24 (1976)

관련 논문AI추천

Inequality for Totally Real Warped Products in Locally Conformal Kaehler Space Forms김영호, Dae Won Yoon경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2004 · 제44권 제4호Shape operator of slant submanifolds in Sasakian space forms김영호, 윤대원, 이철우대한수학회 · 대한수학회보2003 · 제40권 제1호OPTIMAL INEQUALITIES FOR THE CASORATI CURVATURES OF SUBMANIFOLDS OF GENERALIZED SPACE FORMS ENDOWED WITH SEMI-SYMMETRIC METRIC CONNECTIONS윤대원, 이재원, 이철우, Gabriel-Eduard Vilcu대한수학회 · 대한수학회보2015 · 제52권 제5호Optimizations on totally real submanifolds of LCS-manifolds using Casorati curvaturesAliya Naaz Siddiqui, Mohammad Hasan Shahid대한수학회 · 대한수학회논문집2019 · 제34권 제2호A new characterization of type $(A)$ and ruled real hypersurfaces in nonflat complex space formsYaning Wang대한수학회 · 대한수학회보2022 · 제59권 제4호Ricci curvature of submanifolds of an S-space form김정식, Mohit Kumar Dwivedi, Mukut Mani Tripathi대한수학회 · 대한수학회보2009 · 제46권 제5호

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