An integral formula for bi-slant submanifolds in complex space forms

Year 2020, Volume: 49 Issue: 6, 2028 - 2036, 08.12.2020

Aliya Naaz Sıddıquı Cihan Özgür

https://doi.org/10.15672/hujms.596699

Cited By: 1

Abstract

The present paper deals with bi-slant submanifolds in complex space forms. We obtain an integral formula of Simons' type for bi-slant submanifolds of a complex space form with positive constant holomorphic sectional curvature. Then, we apply it to prove our main result. We also discuss the same result in different submanifolds such as hemi-slant and semi-slant submanifolds.

Keywords

bi-slant submanifolds, minimal submanifolds, totally geodesic submanifolds, complex space forms

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