Authors:
Sung Hoon Choe Department of Mathematics, Kyungpook National University, Taegu 702-701, Korea

Search for other papers by Sung Hoon Choe in
Current site
Google Scholar
PubMed
Close
and
Young Jin Suh Department of Mathematics, Kyungpook National University, Taegu 702-701, Korea

Search for other papers by Young Jin Suh in
Current site
Google Scholar
PubMed
Close
Restricted access

Abstract

We give a pinching condition for compact minimal hypersurfaces in complex two-plane Grassmannians G2(ℂm+2) in terms of sectional curvature and the squared norm of the shape operator.

  • [1] Alekseevskii, D. V. 1968 Compact quaternion spaces Func. Anal. Appl. 2 106114 .

  • [2] Berndt, J. 1991 Real hypersurfaces in quaternionic space forms J. Reine Angew. Math. 419 926 .

  • [3] Berndt, J., Suh, Y. J. 1999 Real hypersurfaces in complex two-plane Grassmannians Monatshefte für Math. 127 114 .

  • [4] Berndt, J., Suh, Y. J. 2002 Isometric flows on real hypersurfaces in complex two-plane Grassmannians Monatshefte für Math. 137 8798 .

  • [5] Kimura, M. 1986 Real hypersurfaces and complex submanifolds in complex projective space Trans. Amer. Math. Soc. 296 137149 .

  • [6] Martinez, A., Pérez, J. D. 1986 Real hypersurfaces in quaternionic projective space Ann. Math. Pura Appl. 145 355384 .

  • [7] Kon, M. 1980 Real minimal hypersurfaces in a complex projective space Proc. Amer. Math. Soc. 79 285288 .

  • [8] Montiel, S., Romero, A. 1986 On some real hypersurfaces of a complex hyperbolic space Geometriae Dedicata 20 245261 .

  • [9] Okumura, M. 1975 On some real hypersurfaces of a complex projective space Trans. Amer. Math. Soc. 212 355364 .

  • [10] Suh, Y. J. 2003 Real hypersurfaces in complex two-plane Grassmannians with parallel shape operator Bull. of Austral. Math. Soc. 67 493502 .

    • Crossref
    • Search Google Scholar
    • Export Citation
  • [11] Suh, Y. J. 2003 Real hypersurfaces in complex two-plane Grassmannians with commuting shape operator Bull. of Austral. Math. Soc. 68 379393 .

    • Crossref
    • Search Google Scholar
    • Export Citation
  • [12] Suh, Y. J. 2006 Real hypersurfaces of type B in complex two-plane Grassmannians Monatshefte für Math. 140 337355.

  • [13] Suh, Y. J., Watanabe, Y. 2005 Real hypersurfaces in complex two-plane Grassmannians related to the Ricci curvature Math. J. of Toyama Univ. 28 1125.

    • Search Google Scholar
    • Export Citation
  • [14] Yano, K. 1952 On harmonic and Killing vector fields Ann. of Math. 55 3845 .

  • Collapse
  • Expand

To see the editorial board, please visit the website of Springer Nature.

Manuscript Submission: HERE

For subscription options, please visit the website of Springer Nature.

Acta Mathematica Hungarica
Language English
Size B5
Year of
Foundation
1950
Volumes
per Year
3
Issues
per Year
6
Founder Magyar Tudományos Akadémia  
Founder's
Address
H-1051 Budapest, Hungary, Széchenyi István tér 9.
Publisher Akadémiai Kiadó
Springer Nature Switzerland AG
Publisher's
Address
H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible
Publisher
Chief Executive Officer, Akadémiai Kiadó
ISSN 0236-5294 (Print)
ISSN 1588-2632 (Online)

Monthly Content Usage

Abstract Views Full Text Views PDF Downloads
Dec 2023 9 3 0
Jan 2024 4 1 1
Feb 2024 3 0 1
Mar 2024 4 0 0
Apr 2024 6 0 0
May 2024 41 0 0
Jun 2024 0 0 0