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Full Description
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.
Contents
Chapter 1 Some inequalities for geometric solitons.- Chapter 2 Generalized Ricci-Yamabe Soliton On 3-Dimensional Lie Groups.- Chapter 3 Riemannian Invariants in Submanifold Theory.- Chapter 4 Chen Inequalities for Submanifolds of Kenmotsu Space Forms.- Chapter 5 IMPROVED CHEN-RICCI INEQUALITIES FOR SEMI-SLANT ξ^⊥-RIEMANNIAN SUBMERSIONS FROM SASAKIAN SPACE FORMS.- Chapter 6 CHARACTERIZATIONS OF PERFECT FLUID AND GENERALIZED ROBERTSON-WALKER SPACE-TIMES ADMITTING k ALMOST RICCI-YAMABE SOLITONS.- Chapter 7 RIEMANNIAN CONCIRCULAR STRUCTURE MANIFOLDS AND SOLITONS.- Chapter 8 STATISTICAL MAPS AND A CHEN'S FIRST INEQUALITY FOR THESE MAPS.- Chapter 9 Hyperbolic Ricci-Yamabe Solitons and η-Hyperbolic Ricci-Yamabe Solitons.- Chapter 10 A survey on Hitchin-Thorpe inequality and its extensions.- Chapter 11 The principal eigenvalue of a (p,q)-biharmonic system along the Ricci flow.- Chapter 12 The Jacobi geometry of plane parametrized curves and associated inequalities.- Chapter 13 B.-Y. Chen inequalities for submanifolds of conformally flat manifolds.- Chapter 14 General Chen Inequalities for Statistical Submanifolds in Kenmotsu Statistical Manifolds of Constant ϕ-Sectional Curvature.- Chapter 15 B. Y. Chen inequalities for pointwise quasi hemi-slant submanifolds of a Kaehler manifold.
