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Contact CR-Warped Product Submanifolds in Kenmotsu Space Forms

Kadri Arslan
대한수학회 (The Korean Mathematical Society)|2005.09|대한수학회지 (Journal of the KMS)|제42권 제5호|pp. 1101-1110

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Abstract

Recently, Chen studied warped products which are CR-submanifoldsin Kaehler manifolds and established general sharp inequalities for CR%-warped products in Kaehler manifolds. In the present paper, weobtain sharp estimates for the squared norm of the secondfundamental form (an extrinsic invariant) in terms of the warpingfunction for contact CR-warped products isometrically immersedin Kenmotsu space forms. The equality case is considered. Some applications are derived.

참고문헌 (15)

  1. "Ricci curvature of submanifolds in Kenmotsu space forms", 29, pp.719~726 (2002)
  2. E. Blair, "Contact Manifolds in Riemannian Geometry Lecture Notes in Math. 509" (1976)
  3. "On CR-submanifolds of Hermitianmanifolds", 34, pp.353~ (1979)
  4. "CR-submanifolds of a Kaehler manifold", 16, pp.305~ (1981)
  5. "CR-warped products in complex projectivespaces with compact holomorphic factor", 141, pp.177~ (2004)
  6. "Geometry of warped products as Riemanniansubmanifolds^related problems", 28, pp.125~156 (2002)
  7. "Geometry of warped product CR-submanifolds inKaehler manifolds", 133, pp.177~195 (2001)
  8. "On isometric minimal immersions from warpedproducts into real space forms", 2(45), pp.579~587 (2002)
  9. "On totally real submanifolds", 193, pp.257~ (1974)
  10. "Contact CR-warped productsubmanifolds in Sasakian manifolds", 102, pp.143~ (2003)
  11. "A class of almost contact Riemannian manifolds", 24, pp.93~ (1972)
  12. "Warped product submanifolds in complex spaceforms", 70, pp.419~427 (2004)
  13. "Isometric immersions of warped products", 6, pp.1~30 (1996)
  14. "The automorphisms groups of almost contact metricmanifolds", 21, pp.21~ (1969)
  15. "Structures on Manifolds" (1984)

관련 논문AI추천

$(n+1)$-dimensional contact $CR$-submanifolds of$(n-1)$ contact $CR$-dimension in a Sasakian space formJin Suk Pak, Jung-Hwan Kwon대한수학회 · 대한수학회논문집2002 · 제17권 제3호Contact CR-Warped product Submanifolds in Cosymplectic ManifoldsMEHMET ATC≫EKEN경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2016 · 제56권 제3호Some warped product submanifolds of a Kenmotsu manifoldMohammad Shuaib, Viqar Azam Khan대한수학회 · 대한수학회보2014 · 제51권 제3호Warped product pseudo-slant submanifolds of a Kenmotsu manifoldMohammad Shuaib대한수학회 · 대한수학회논문집2023 · 제38권 제2호Contact three $CR$-submanifolds of a $(4m+3)$-dimensional unit sphere권정환, 김영미, 김향숙, 박진석대한수학회 · 대한수학회지2007 · 제44권 제2호On contact slant submanifold of $L \times_{f} F$Won-Ho Sohn대한수학회 · 대한수학회논문집2004 · 제19권 제1호

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