본문 바로가기
KERD
논문KCI 등재

Notes on real hypersurfaces in a complex space form

Jong Taek Cho
대한수학회 (The Korean Mathematical Society)|2015.01|대한수학회보 (Bulletin of the KMS)|제52권 제1호|pp. 335-344

0

조회

0

다운로드

2

인용

0

참고문헌

키워드

complex space formreal hypersurfacealmost contact structure
주제분류수학

초록

We characterize a homogeneous real hypersurface of type (A) or a ruled real hypersurface in a non-flat complex space form, respectively.

Abstract

We characterize a homogeneous real hypersurface of type (A) or a ruled real hypersurface in a non-flat complex space form, respectively.

참고문헌 (30)

  1. T. Adachi, "Real hypersurfaces which are contact in a nonflat complex space form", Hokkaido Math. J, 40(2), pp.205~217 (2011)
  2. S.-S. Ahn, "On ruled real hypersurfaces in a complex space form", Tsukuba J. Math, 17(2), pp.311~322 (1993)
  3. J. Berndt, "Real hypersurfaces with constant principal curvatures in complex hyperbolic space", J. Reine Angew. Math, 395, pp.132~141 (1989)
  4. D. E. Blair, "Riemannian Geometry of Contact and Symplectic Manifolds", Progress in Math, 203 (2010), Birkh¨auser Boston, Inc
  5. D. E. Blair, "Almost contact manifolds with Killing structure tensors", Pacific J. Math, 39(2), pp.285~292 (1971)
  6. T. E. Cecil, "Focal sets and real hypersurfaces in complex projective space", Trans. Amer. Math. Soc, 269(2), pp.481~499 (1982)
  7. J. T. Cho, "Contact metric hypersurfaces in complex space forms", Proceedings of the workshop on Differential Geometry of Submanifolds and Related Topics (2012)
  8. J. T. Cho, "Transversal symmetries on real hypersurfaces in a complex space form", Hiroshima Math. J, 43(2), pp.223~238 (2013)
  9. G. Dileo, "Almost Kenmotsu manifolds and local symmetry", Bull. Belg. Math. Soc. Simon Stevin, 14(2), pp.343~354 (2007)
  10. S. I. Goldberg, "Integrability of almost cosymplectic structures", Pacific J. Math, 31, pp.373~381 (1969)
  11. S. Kanemaki, "Quasi-Sasakian manifolds", Tˆohoku Math. J, 29(2), pp.227~233 (1977)
  12. K. Kenmotsu, "A class of almost contact Riemannian manifolds", Tˆohoku Math. J, 24, pp.93~103 (1972)
  13. U.-H. Ki, "On real hypersurfaces of a complex space form", Math. J. Okayama Univ, 32, pp.207~221 (1990)
  14. U.-H. Ki, "On a characterization of real hypersurfaces of type A in a complex space form", Canad. Math. Bull, 37(2), pp.238~244 (1994)
  15. M. Kimura, "Real hypersurfaces and complex submanifolds in complex projective space", Trans. Amer. Math. Soc, 296(1), pp.137~149 (1986)
  16. M. Kimura, "Sectional curvatures of holomorphic planes on a real hypersurfaces in Pn(C)", Math. Ann, 276(3), pp.487~497 (1987)
  17. M. Kon, "Pseudo-Einstein real hypersurfaces in complex space forms", J. Diffential Geometry, 14(3), pp.339~354 (1979)
  18. S. H. Kon, "Real hypersurfaces in a complex space form with η-parallel shape operator", Math. Z, 269(1-2), pp.47~58 (2011)
  19. Y. Maeda, "On real hypersurfaces of a complex projective space", J. Math. Soc. Japan, 28(3), pp.529~540 (1976)
  20. S. Maeda, "Real hypersurfaces of a complex projective space in terms of holomorphic distribution", Tsukuba J. Math, 14(1), pp.39~52 (1990)
  21. S. Montiel, "On some real hypersurfaces of a complex hyperbolic space", Geom. Dedicata, 20(2), pp.245~261 (1986)
  22. R. Niebergall, "Real hypersurfaces in complex space forms, Tight and taut submanifolds", pp.233~305 (1997), Cambridge Univ. Press
  23. M. Okumura, "Certain almost contact hypersurfaces in Kaehlerian manifolds of constant holomorphic sectional curvature", Tohoku Math. J. (2), 16, pp.270~284 (1964)
  24. M. Okumura, "On some real hypersurfaces of a complex projective space", Trans. Amer. Math. Soc, 212, pp.355~364 (1975)
  25. M. Okumura, "Compact real hypersurfaces of a complex projective space", J. Differential Geom, 12(4), pp.595~598 (1977)
  26. Z. Olszak, "Curvature properties of quasi-Sasakian manifolds", Tensor (N.S.), 38, pp.19~28 (1982)
  27. Y. J. Suh, "On real hypersurfaces of a complex space form with η-parallel Ricci tensor", Tsukuba J. Math, 14(1), pp.27~37 (1990)
  28. R. Takagi, "On homogeneous real hypersurfaces in a complex projective space", Osaka J. Math, 19, pp.495~506 (1973)
  29. R. Takagi, "Real hypersurfaces in a complex projective space with constant principal cur-vatures I", J. Math. Soc. Japan, 15, pp.43~53 (1975)
  30. R. Takagi, "Real hypersurfaces in a complex projective space with constant principal cur-vatures II", J. Math. Soc. Japan, 15, pp.507~516 (1975)

관련 논문AI추천

Some characterizations of real hypersurfaces of type (A) in a nonflat complex space form기우항, Huili Liu대한수학회 · 대한수학회보2007 · 제44권 제1호A new characterization of type $(A)$ and ruled real hypersurfaces in nonflat complex space formsYaning Wang대한수학회 · 대한수학회보2022 · 제59권 제4호Real Hypersurfaces in a Nonflat Complex Space Form with Special Structure Tensor Field김훈주, 임동호한국수학교육학회 · 이론수학과 교직수학2021 · 제28권 제3호Structure Jacobi Operators of Real Hypersurfaces with Constant Mean Curvature in a Complex Space FormHiroyuki Kurihara, Tae Yong Hwang, U-Hang Ki경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2016 · 제56권 제4호On characterizations of real hypersurfaces with $\eta$-parallel Ricci operators in a complex space form김인배, 박혜정, 손운하대한수학회 · 대한수학회보2006 · 제43권 제2호Characterizations of real hypersurfaces of complex space forms in terms of Ricci operators손운하대한수학회 · 대한수학회보2007 · 제44권 제1호

이 간행물의 다른 논문 (25건)

HAYMAN T DIRECTIONS OF MEROMORPHIC FUNCTIONS IN SOME ANGULAR DOMAINSNan Wu, Zu-Xing Xuanpp. 1-11WEIGHTED SHARING AND UNIQUENESS OF ENTIRE OR MEROMORPHIC FUNCTIONSVeena L. Pujari, SUBHAS S.BHOOSNURMATHpp. 13-33A new mean value related to D. H. Lehmer's problem and Kloosterman sumsDi Han, Wenpeng Zhangpp. 35-43Finiteness of commutable maps of bounded degree이종규, Hexi Yepp. 45-56Real hypersurfaces in complex two-plane Grassmannians whose shape operator is of Codazzi type in generalized Tanaka-Webster connection이현진, Kyusuk Cho, Eunmi Pakpp. 57-68
원문 보기