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Inequality for Totally Real Warped Products in Locally Conformal Kaehler Space Forms

Dae Won Yoon|김영호
경북대학교 자연과학대학 수학과|2004.12|Kyungpook Mathematical Journal|제44권 제4호|pp. 585-592

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참고문헌

키워드

warped productmean curvaturelocally conformal Kaehler space formtotally real submanifold
주제분류수학

초록

In this article, we establish the inequality between the warping function of a warped product submanifold isometrically immersed in a locally conformal Kaehler space form of constant holomorphic sectional curvature and the squared mean curvature. Fur-thermore, some applications are derived.

Abstract

In this article, we establish the inequality between the warping function of a warped product submanifold isometrically immersed in a locally conformal Kaehler space form of constant holomorphic sectional curvature and the squared mean curvature. Fur-thermore, some applications are derived.

참고문헌 (8)

  1. "Some pinching and classification theorems for minimal submanifolds", 60, pp.568~578 (1993)
  2. "Geometry of warped products as Riemannian submanifolds and relatedproblems", 28, pp.125~156 (2002)
  3. "On isometric minimal immersions from warped products into real spaceforms", 45, pp.579~587 (2002)
  4. "A general optimal inequality for warped products in complex projectivespaces and its applications", 79, pp.89~94 (2003)
  5. B.-Y. Chen, "Non-immersion theorems for warped products in complex hyperbolic spaces", 78, pp.96~100 (2002)
  6. "Warped product submanifolds in Sasakian space forms", 38, pp.135~144 (2002)
  7. "Isometric immersions of warped products", 6, pp.1~30 (1996)
  8. "B.-Y. Chen’s inequality for CR-submanifolds of locally conformalKaehler space forms", 36, pp.189~198

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