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Real hypersurfaces of type (A) in complex two-plane Grassmannians related to the commuting shape operator
-
Imsoon Jeong
and
Young Jin Suh
Published/Copyright:
January 3, 2013
Abstract.
We give some characterizations of real hypersurfaces of type (A)
in complex two plane Grassmannians 
, that is, a tube over a
totally geodesic 
in with the
commuting condition 
for the shape operator A,
the structure tensors 
and 
, together with
additional geometric conditions.
Keywords: Real hypersurfaces; complex two-plane Grassmannians; Hopf hypersurface; commuting shape operator
Received: 2012-03-15
Revised: 2012-05-11
Published Online: 2013-01-03
Published in Print: 2013-01-01
© 2013 by Walter de Gruyter Berlin Boston
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Keywords for this article
Real hypersurfaces;
complex two-plane Grassmannians;
Hopf hypersurface;
commuting shape operator
Articles in the same Issue
- Masthead
- Isomorphism criteria for Witt rings of real fields
- Simplicial differential calculus, divided differences, and construction of Weil functors
- Rank 3 permutation characters and maximal subgroups
- On the oscillation and nonoscillation of the solutions of impulsive differential equations of second order with retarded argument
- A note on the existence of transition probability densities of Lévy processes
- Carleson measures and Logvinenko–Sereda sets on compact manifolds
- Cofiniteness of composed local cohomology modules
- Real hypersurfaces of type (A) in complex two-plane Grassmannians related to the commuting shape operator
- Deconstructibility and the Hill Lemma in Grothendieck categories
