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Optimal inequalities for Riemannian maps and Riemannian submersions involving Casorati curvatures
- Lee, Chul Woo;
- Lee, Jae Won;
- Sahin, Bayram;
- Vilcu, Gabriel-Eduard
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25초록
Riemannian maps are generalizations of well-known notions of isometric immersions and Riemannian submersions. Most optimal inequalities on submanifolds in various ambient spaces are driven from isometric immersions. The main aim of this paper is to obtain optimal inequalities for Riemannian maps to space forms, as well as for Riemannian submersions from space forms, involving Casorati curvatures.
키워드
Riemannian map; Casorati curvature; delta-Casorati curvature; Normalized scalar curvature; LAGRANGIAN SUBMANIFOLDS; INVARIANT; SPACE
- 제목
- Optimal inequalities for Riemannian maps and Riemannian submersions involving Casorati curvatures
- 저자
- Lee, Chul Woo; Lee, Jae Won; Sahin, Bayram; Vilcu, Gabriel-Eduard
- 발행일
- 2021-06
- 유형
- Article
- 권
- 200
- 호
- 3
- 페이지
- 1277 ~ 1295