Simons' type formula for slant submanifolds of complex space form
Aliya Naaz Siddiqui, Mohammad Jamali, Mohammad Hasan Shahid
TL;DR
This paper derives a Simons' type integral formula for Kaehlerian slant submanifolds in complex space forms and uses it to establish new geometric results.
Contribution
It introduces a novel integral formula for Kaehlerian slant submanifolds and applies it to obtain new geometric inequalities or characterizations.
Findings
Derived a Simons' type integral formula for Kaehlerian slant submanifolds
Proved new geometric inequalities or characterizations using the formula
Enhanced understanding of the geometry of slant submanifolds in complex space forms
Abstract
In this paper, we study a slant submanifold of a complex space form. We also obtain an integral formula of Simons' type for a Kaehlerian slant submanifold in a complex space form and apply it to prove our main result.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometry and complex manifolds · Geometric and Algebraic Topology