# Simons' type formula for slant submanifolds of complex space form

## 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.

## Key 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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Source: https://tomesphere.com/paper/1702.00174