Geometric Inequalities and Applications

This contributed volume includes chapters written by leading experts from around the world and provides a thorough and up-to-date exploration of geometric inequalities and their far-reaching applications. Covering a broad spectrum of topics, it discusses the intricacies of geometric solitons, generalized Ricci-Yamabe solitons on three-dimensional Lie groups, and Riemannian invariants in submanifold theory. Readers will find in-depth discussions on B.Y. Chen inequalities for submanifolds of Kenmotsu space forms, refined Chen-Ricci inequalities for submersions from Sasakian space forms, and essential characterizations of perfect fluid and generalized Robertson-Walker space-times admitting k-almost Ricci-Yamabe solitons. The book also investigates Riemannian concircular structure manifolds, statistical maps and their inequalities, as well as hyperbolic and η-hyperbolic Ricci-Yamabe solitons.