Pseudo parallel CR-submanifolds in a non-flat complex space form
Avik De, Tee-How Loo
TL;DR
This paper classifies pseudo parallel proper CR-submanifolds in non-flat complex space forms with higher CR-dimension, leading to non-existence results for recurrent and semi-parallel cases.
Contribution
It provides a classification of pseudo parallel CR-submanifolds in non-flat complex space forms with CR-dimension greater than one, establishing new non-existence results.
Findings
Classification of pseudo parallel proper CR-submanifolds
Non-existence of recurrent CR-submanifolds
Non-existence of semi-parallel CR-submanifolds
Abstract
We classify pseudo parallel proper CR-submanifolds in a non-flat complex space form with CR-dimension greater than one. With this result, the non-existence of recurrent as well as semi parallel proper CR-submanifolds in a non-flat complex space form with CR-dimension greater than one can also be obtained.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Holomorphic and Operator Theory · Advanced Differential Geometry Research