본문 바로가기
KERD
논문KCI 등재

New Relationships involving the Mean Curvature of Slant Submanifolds in $S$-space-forms

0

조회

0

다운로드

1

인용

0

참고문헌

주제분류수학

초록

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)

  1. "Geometry of manifolds with structural group {mathcal U", pp.155~ (1970)
  2. "Slant submanifolds in Sasakian manifolds", 42(1), pp.125~138 (2000)
  3. "New developments in slant submanifolds theory,Applicable Mathematics in the Golden Age", pp.339~356 (2002), Narosa Publishing House, New Delhi
  4. "B. Y. Chen's inequality for S-space-forms: applications to slant immersions", 34(9), pp.1287~1298 (2003)
  5. "Minimal slant submanifolds of the smallest dimension inS-manifolds", 21(1), pp.47~66 (2005)
  6. "Some slant submanifolds of S-manifolds", 107(4), pp.267~285 (2005)
  7. "Mean curvature and shape operator of isometric immersions in real-space-forms", 38(1), pp.87~97 (1996)
  8. "Relations between Ricci curvature and shape operator for submanifolds with arbitrary codimensions", 41(1), pp.33~41 (1999)
  9. "Invariant submanifolds of an f-manifold with complemented frames", pp.430~ (1972), Kodai Math. Sem. Rep. 24
  10. "Slant submanifolds in contact geometry", 39, pp.183~198 (1996)
  11. "Generic CR-submanifolds in S-manifolds", pp.435~ (1984)
  12. "Mean curvature and shape operator of slant immersions in a Sasakian space form", 7(1), pp.101~111 (2002)

관련 논문AI추천

이 간행물의 다른 논문 (16건)