Hostname: page-component-586b7cd67f-2plfb Total loading time: 0 Render date: 2024-11-26T02:53:14.291Z Has data issue: false hasContentIssue false
  • English
  • Français

Pseudo-Einstein real hypersurfaces in complex two-plane Grassmannians

Published online by Cambridge University Press:  17 April 2009

Young Jin Suh
Young Jin Suh
Affiliation:
Department of Mathematics, Kyungpook National University, Taegu 702–701, Korea e-mail: [email protected]
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

In this paper we give a complete classification of -invariant or Hopf pseudo-Einstein real hypersurfaces in complex two-plane Grassmannians G2(ℂm+2).

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 73 , Issue 2 , April 2006 , pp. 183 - 200
Copyright
Copyright © Australian Mathematical Society 2006

References

[1]Berndt, J., ‘Riemannian geometry of complex two-plane Grassmannians’, Rend. Sem. Mat. Univ. Politec. Torino 55 (1997), 19–83.Google Scholar
[2]Berndt, J. and Suh, Y.J., ‘Real hypersurfaces in complex two-plane Grassmannians’, Monatsh. Math. 127 (1999), 1–14.CrossRefGoogle Scholar
[3]Berndt, J. and Suh, Y.J., ‘Isometric flows on real hypersurfaces in complex two-plane Grassmannians’, Monatsh. Math. 137 (2002), 87–98.CrossRefGoogle Scholar
[4]Cecil, T.E. and Ryan, P.J., ‘Focal sets and real hypersurfaces in complex projective space’, Trans. Amer. Math. Soc. 269 (1982), 481–499.Google Scholar
[5]Kimura, M., ‘Real hypersurfaces of a complex projective space’, Bull. Austral. Math. Soc. 33 (1986), 383–387.CrossRefGoogle Scholar
[6]Kimura, M. and Maeda, S., ‘On real hypersurfaces of a complex projective space II’, Tsukuba J. Math. 15 (1991), 547–561.CrossRefGoogle Scholar
[7]Pérez, J.D., ‘Real hypersurfaces of quaternionic projective space satisfying ’, J. Geom. 49 (1994), 166–177.CrossRefGoogle Scholar
[8]Pérez, J.D. and Suh, Y.J., ‘Real hypersurfaces of quaternionic projective space satisfying ’, Differential Geom. Appl. 7 (1997), 211–217.CrossRefGoogle Scholar
[9]Pérez, J.D. and Suh, Y.J., ‘Real hypersurfaces in complex two-plane Grassmannians with parallel and commuting Ricci tensor’, (submitted).Google Scholar