Isotropic Immersions of Complex Space Forms into Real Space Forms and Mean Curvatures
Copyright policy )Isotropic Immersions of Complex Space Forms into Real Space Forms and Mean Curvatures
First, the author finds a sufficient condition for an isotropic immersion of a complex space form into a real space form to be parallel. Then he extends the result to isotropic immersions of quaternionic space forms into real space forms. In each case, the sufficient condition is expressed in terms of the mean curvature of the submanifold, its holomorphic (quaternionic) sectional curvature, and the curvature of the ambient manifold.
- Shimane University Japan
complex space forms, Local submanifolds, Local differential geometry of Hermitian and Kählerian structures, parallel immersions, isotropic immersions, real space forms
complex space forms, Local submanifolds, Local differential geometry of Hermitian and Kählerian structures, parallel immersions, isotropic immersions, real space forms
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