Optimal inequalities for Riemannian maps and Riemannian submersions involving Casorati curvatures
Articles > Article · 2020
Authors: Chul Woo Lee, Jae Won Lee, Bayram ŞAHİN, Gabriel-Eduard Vilcu
Annali di Matematica Pura ed Applicata (1923 -), Journal Indexed in SCI Expanded, International, WoS, 2020, vol 200, pp 1277-1295
DOI: 10.1007/s10231-020-01037-7
Summary
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.