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

Key Findings & Data:We obtain an integral formula of Simons' type for bi-slant submanifolds of a complex space form with positive constant holomorphic sectional curvature.

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Conclusion & Impact:We also discuss the same result in different submanifolds such as hemi-slant and semi-slant submanifolds.

🔬Design:Research Article

📍Scope:Comprehensive Sample

⚙️Variables:bi-slant submanifolds · minimal submanifolds · totally geodesic submanifolds

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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Cite This Article

Özgür, C., Siddiqui, A. N. (2022). An integral formula for bi-slant submanifolds in complex space forms. Hacettepe Journal of Mathematics and Statistics, Cilt: 49 - Sayı: 6, 2028–2036. https://ajindex.com/articles/530050

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