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Sectional curvature of contact $CR$-submanifolds of an odd-dimensional unit sphere

박진석|김향숙
대한수학회 (The Korean Mathematical Society)|2005.11|대한수학회보 (Bulletin of the KMS)|제42권 제4호|pp. 777-788

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Abstract

In this paper we study (n + 1)-dimensional compactcontact CR-submanifolds of (n -1) contact CR-dimension immersed in an odd-dimensional unit sphere S^{2m +1} . Especially weprovide necessary conditions in order for such a submanifold to be the generalized Cliord surface S^{2n_1 +1} (((2n_1 + 1) =(n + 1))1/2 ) S^{2n_2 +1} (((2n_2 + 1) =(n + 1))1/2 ) for some portion (n_1,n_2) of (n- 1)/2 in terms with sectional curvature.

참고문헌 (7)

  1. "Geometry of CR-submanifolds" (1986), D. Reidel Publishing Company
  2. "Geometry of submanifolds" (1973), Marcel Dekker Inc.
  3. "Reduction of the codimension of an isometric immersion", 5, pp.333~340 (1971)
  4. "On some contact CR-submanifolds of an odd-dimensional unit sphere", 26, pp.427~439 (2000)
  5. "Contact CR-submanifolds of an odd-dimensional unit sphere accepted in Geom. Dedicata."
  6. "Homogeneity and some curvature conditions for hypersurfaces", 21, pp.363~388 (1969)
  7. "CR submanifolds of Kaehlerian and Sasakian manifolds" (1983)

관련 논문AI추천

Certain contact $CR$-submanifolds of an odd-dimensional unit sphere김향숙, 박진석대한수학회 · 대한수학회보2007 · 제44권 제1호Contact three $CR$-submanifolds of a $(4m+3)$-dimensional unit sphere권정환, 김영미, 김향숙, 박진석대한수학회 · 대한수학회지2007 · 제44권 제2호Hypersurfaces of the Contact Metric Manifold with a Nullity Condition and -constant Sectional CurvatureCalin Agut경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2005 · 제45권 제2호$(n+1)$-dimensional contact $CR$-submanifolds of$(n-1)$ contact $CR$-dimension in a Sasakian space formJin Suk Pak, Jung-Hwan Kwon대한수학회 · 대한수학회논문집2002 · 제17권 제3호SCALAR CURVATURE OF CONTACT CR-SUBMANIFOLDS IN AN ODD-DIMENSIONAL UNIT SPHERE김향숙, 박진석대한수학회 · 대한수학회보2010 · 제47권 제3호Scalar curvature of contact three CR-submanifolds in a unit (4m+3)-sphere김향숙, 박진석대한수학회 · 대한수학회보2011 · 제48권 제3호

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