Geometry of CR submanifolds of maximal CR dimension in complex space forms
Mirjana Milijevic
TL;DR
This paper extends known results about the geometry of real hypersurfaces in complex space forms to the broader class of CR submanifolds with maximal CR dimension, enhancing understanding of their extrinsic geometry.
Contribution
It generalizes existing theorems from real hypersurfaces to CR submanifolds of maximal CR dimension in complex space forms.
Findings
Generalization of extrinsic geometric results to CR submanifolds
New characterizations of CR submanifolds in complex space forms
Insights into the curvature properties of these submanifolds
Abstract
On real hypersurfaces in complex space forms many results are proven. In this paper we generalize some results concerning extrinsic geometry of real hypersurfaces, to CR submanifolds of maximal CR dimension in complex space forms.
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Taxonomy
TopicsHolomorphic and Operator Theory · Geometric Analysis and Curvature Flows · Algebraic and Geometric Analysis