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Real Hypersurfaces in Complex Two-Plane Grassmannians with Vanishing Lie Derivative

Published online by Cambridge University Press:  20 November 2018

Young Jin Suh
Young Jin Suh*
Affiliation:
Kyungpook National University, Department of Mathematics, Taegu 702-701, Korea e-mail: yjsuh@mail.knu.ac.kr
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Abstract

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In this paper we give a characterization of real hypersurfaces of type $A$ in a complex two-plane Grassmannian ${{G}_{2}}\left( {{\mathbb{C}}^{m+2}} \right)$ which are tubes over totally geodesic ${{G}_{2}}\left( {{\mathbb{C}}^{m+1}} \right)$ in ${{G}_{2}}\left( {{\mathbb{C}}^{m+2}} \right)$ in terms of the vanishing Lie derivative of the shape operator $A$ along the direction of the Reeb vector field $\xi$.

Keywords

53C4053C15
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 49 , Issue 1 , 01 March 2006 , pp. 134 - 143
Copyright
Copyright © Canadian Mathematical Society 2006

References

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