Chen / Choudhary Geometric Inequalities and Applications

Erscheinungsjahr 2026
ISBN: 978-981-955148-4
Verlag: Springer Singapore
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 388 Seiten

Reihe: Infosys Science Foundation Series in Mathematical Sciences

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 ?-hyperbolic Ricci–Yamabe solitons.

Zielgruppe

Research

Autoren/Hrsg.

Chen, Bang-Yen

Choudhary, Majid Ali

Inhaltsverzeichnis

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 ?^?-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 ?-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 ?-Sectional Curvature.- Chapter 15 B. Y. Chen inequalities for pointwise quasi hemi-slant submanifolds of a Kaehler manifold.

Über Autor(innen)

Bang-Yen Chen, a Taiwanese–American mathematician, is University Distinguished Professor Emeritus at Michigan State University, USA, since 2012. He completed his Ph.D. degree at the University of Notre Dame, USA, in 1970, under the supervision of Prof. Tadashi Nagano. He received his M.Sc. degree from National Tsing Hua University, Hsinchu, Taiwan, in 1967, and B.Sc. degree from Tamkang University, Taipei, Taiwan, in 1965. Earlier at Michigan State University, he served as University Distinguished Professor (1990–2012), Full Professor (1976), Associate Professor (1972), and Research Associate (1970–1972). He taught at Tamkang University, Taiwan, from 1966 to 1968, and at National Tsing Hua University, Taiwan, during the academic year 1967–1968.
Majid Ali Choudhary is Assistant Professor at the Department of Mathematics at Maulana Azad National Urdu University, Hyderabad, India. In 2014, he received his Ph.D. in Mathematics from Jamia MilliaIslamia, India, under the supervision of Prof. Mohammad Hasan Shahid. He was awarded the DST, Government of India’s Inspire Fellowship to pursue a Ph.D. degree. His M.Sc. degree from Jamia Millia Islamia, New Delhi, India, was conferred to him in 2008, and he also won a Gold Medal for securing the first position in the University. His areas of interest include Ricci solitons, Chen–Ricci inequalities, Wintgen inequalities, and inequalities involving Casorati curvatures. He also studies the geometry of submanifolds in Riemannian and semi-Riemannian manifolds. Research publications of him have been appearing in journals of repute.