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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2017.1
- 수록면
- 525 - 535 (11page)
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In this paper, we consider two kinds of derivatives for the shape operator of areal hypersurface in a Kahler manifold which are named the Lie derivative and the covariantderivative with respect to the k-th generalized Tanaka-Webster connection br(k). Thepurpose of this paper is to study Hopf hypersurfaces in complex Grassmannians of ranktwo, whose Lie derivative of the shape operator coincides with the covariant derivative ofit with respect to br(k) either in direction of any vector eld or in direction of Reeb vectoreld.
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참고문헌 (17)
참고문헌 신청
D. E. Blair / 2002 / Riemannian geometry of contact and symplectic manifolds / Birkh¨auser
H. Lee / 2016 / Real hypersurfaces in complex hyperbolic two-plane Grassmannians with commuting structure Jacobi operators / Meditterr. J. Math. 13 : 3389 ~ 3407
I. Jeong / 2011 / Real hypersurfaces in complex twoplane Grassmannians with D ⊥-parallel structure Jacobi operator / Internat. J. Math. 22 (5) : 655 ~ 673
I. Jeong / 2015 / Levi-Civita and generalized Tanaka-Webster covariant derivatives for real hypersurfaces in complex two-plane Grassmannians / Ann. Mat. Pura Appl. 194 (3) :
J. Berndt / 1997 / Riemannian geometry of complex two-plane Grassmannians / Rend. Sem. Mat. Univ. Politec. Torino 55 : 19 ~ 83
H. Lee / 2016 / Real hypersurfaces in complex hyperbolic two-plane Grassmannians with commuting structure Jacobi operators / Meditterr. J. Math. 13 : 3389 ~ 3407
I. Jeong / 2011 / Real hypersurfaces in complex twoplane Grassmannians with D ⊥-parallel structure Jacobi operator / Internat. J. Math. 22 (5) : 655 ~ 673
I. Jeong / 2015 / Levi-Civita and generalized Tanaka-Webster covariant derivatives for real hypersurfaces in complex two-plane Grassmannians / Ann. Mat. Pura Appl. 194 (3) :
J. Berndt / 1997 / Riemannian geometry of complex two-plane Grassmannians / Rend. Sem. Mat. Univ. Politec. Torino 55 : 19 ~ 83
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