Curvature invariants of slant submanifolds in S-space forms

P. Alegre (), J. Barrera, A. Carriazo () and L. M. Fernández ()
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P. Alegre: University of Sevilla
J. Barrera: Junta de Andalucía
A. Carriazo: University of Sevilla
L. M. Fernández: University of Sevilla

Indian Journal of Pure and Applied Mathematics, 2022, vol. 53, issue 4, 993-1005

Abstract: Abstract In this paper, we establish some relationships between the main intrinsic invariants, scalar and Ricci curvatures, and the main extrinsic invariant, the mean curvature vector, for slant submanifolds of S-space-forms. In addition to that, we study those slant submanifolds satisfying the equality case between the above invariants, due to the great importance that these submanifolds have had in both complex and contact geometry. Moreover, we present some examples on these conditions.

Keywords: slant submanifolds; S-space-forms; Ricci curvature; scalar curvature; mean curvature; 53C40; 53C25; 53C15 (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s13226-021-00205-6

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