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Real hypersurfaces in complex two-plane Grassmannians whose shape operator is of Codazzi type in generalized Tanaka-Webster connection

이현진|Kyusuk Cho|Eunmi Pak
대한수학회 (The Korean Mathematical Society)|2015.01|대한수학회보 (Bulletin of the KMS)|제52권 제1호|pp. 57-68

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참고문헌

키워드

Hopf hypersurfaceshape operatorgeneralized Tanaka-Webster connectioncomplex two-plane GrassmanniansCodazzi type tensor
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초록

In this paper, we give a non-existence theorem of Hopf hypersurfaces in complex two-plane Grassmannians $\GBt$, $m \geq 3$, whose shape operator is of Codazzi type in generalized Tanaka-Webster connection $\gtw$.

Abstract

In this paper, we give a non-existence theorem of Hopf hypersurfaces in complex two-plane Grassmannians $\GBt$, $m \geq 3$, whose shape operator is of Codazzi type in generalized Tanaka-Webster connection $\gtw$.

참고문헌 (16)

  1. D. V. Alekseevskii, "Compact quaternion spaces", Funct. Anal. Appl, 2, pp.106~114 (1968)
  2. J. Berndt, "Riemannian geometry of complex two-plane Grassmannian", Rend. Semin. Mat. Univ. Politec. Torino, 55(1), pp.19~83 (1997)
  3. J. Berndt, "Real hypersurfaces in complex two-plane Grassmannians", Monatsh. Math, 127(1), pp.1~14 (1999)
  4. J. Berndt, "Real hypersurfaces with isometric Reeb flow in complex two-plane Grassman-nians", Monatsh. Math, 137(2), pp.87~98 (2002)
  5. J. T. Cho, "CR structures on real hypersurfaces of a complex space form", Publ. Math. Debrecen, 54(3-4), pp.473~487 (1999)
  6. J. T. Cho, "The Tanaka-Webster connection and real hypersurfaces in a complex space form", Kodai Math. J, 34, pp.474~484 (2011)
  7. I. Jeong, "Real hypersurfaces in complex two-plane Grassmannians with generalized Tanaka-Webster Reeb parallel shape operator", Monatsh. Math, 171(3-4), pp.357~376 (2013)
  8. I. Jeong, "Real hypersurfaces in complex two-plane Grassmannians with generalized Tanaka-Webster parallel shape operator", Kodai Math. J, 34(2), pp.352~366 (2011)
  9. I. Jeong, "Real hypersurfaces in complex two-plane Grassmannians with generalized Tanaka-Webster D⊥-parallel shape operator", Int. J. Geom. Methods Mod. Phys, 9(4), pp.1250032~ (2012)
  10. M. Kon, "Real hypersurfaces in complex space forms and the generalized-Tanaka-Webster connection", Proceedings of the 13th International Workshop on Differential Geometry and Related Fields, 13, pp.145~159 (2009), Natl. Inst. Math. Sci
  11. 이현진, "REAL HYPERSURFACES OF TYPE B IN COMPLEX TWO-PLANE GRASSMANNIANS RELATED TO THE REEB VECTOR", 대한수학회보, 47(3), pp.551~561 (2010), 대한수학회
  12. Juan de Dios P'erez, "The Ricci tensor of real hypersurfaces in complex two-plane Grassmannians", 대한수학회지, 44(1), pp.211~235 (2007), 대한수학회
  13. Y. J. Suh, "Real hypersurfaces in complex two-plane Grassmannians with parallel shape operator", Bull. Aust. Math. Soc, 67(3), pp.493~502 (2003)
  14. N. Tanaka, "On non-degenerate real hypersurfaces, graded Lie algebras and Cartan con-nections", Jpn. J. Math, 20(1), pp.131~190 (1976)
  15. S. Tanno, "Variational problems on contact Riemannian manifolds", Trans. Amer. Math. Soc, 314(1), pp.349~379 (1989)
  16. S. M. Webster, "Pseudo-Hermitian structures on a real hypersurface", J. Differential Geom, 13(1), pp.25~41 (1978)

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