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

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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