Geometric inequalities for Einstein totally real submanifolds in a complex space form
Pan Zhang, Liang Zhang, Mukut Mani Tripathi
TL;DR
This paper establishes new geometric inequalities for Einstein totally real submanifolds in complex space forms, leading to non-existence results for certain configurations.
Contribution
It introduces two novel geometric inequalities specific to Einstein totally real submanifolds in complex space forms.
Findings
Derived two key geometric inequalities.
Obtained non-existence results for certain submanifolds.
Abstract
Two geometric inequalities are established for Einstein totally real submanifolds in a complex space form. As immediate applications of these inequalities, some non-existence results are obtained.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Advanced Differential Geometry Research · Point processes and geometric inequalities