Geometric Inequalities and Applications
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Beschreibung
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.
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.
Presents a comprehensive and up-to-date survey of recent developments in geometric inequalities and their applications Includes chapters on a broad spectrum of topics contributed by leading scientists from across the world Discusses Riemannian manifolds, statistical maps and their inequalities, and Ricci–Yamabe solitons
Autor*in
Bang-Yen Chen
Themen in »Geometric Inequalities and Applications«
differential geometry geometric inequalities differential equations theory of functions complex variables general relativity string theory energy distributions soliton Ricci curvature Euclidean sphere Yamabe-Soliton Lie groups Riemannian invariants Chen inequality