Geometry of Submanifolds and Applications
Bang-Yen Chen (Hrsg.), Majid Ali Choudhary (Hrsg.), Mohammad Nazrul Islam Khan (Hrsg.)
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Naturwissenschaften, Medizin, Informatik, Technik / Geometrie
Description
This book features chapters written by renowned scientists from various parts of the world, providing an up-to-date survey of submanifold theory, spanning diverse topics and applications. The book covers a wide range of topics such as Chen–Ricci inequalities in differential geometry, optimal inequalities for Casorati curvatures in quaternion geometry, conformal η-Ricci–Yamabe solitons, submersion on statistical metallic structure, solitons in f(R, T)-gravity, metric-affine geometry, generalized Wintgen inequalities, tangent bundles, and Lagrangian submanifolds.
Moreover, the book showcases the latest findings on Pythagorean submanifolds and submanifolds of four-dimensional f-manifolds. The chapters in this book delve into numerous problems and conjectures on submanifolds, providing valuable insights for scientists, educators, and graduate students looking to stay updated with the latest developments in the field. With its comprehensive coverage and detailed explanations, this book is an essential resource for anyone interested in submanifold theory.
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Keywords
Almost Contact Metric Manifolds, Golden Ratio, Yamabe Solitons, Kaehler Submersions, f-manifolds, Almost Hermitian Manifolds, Scalar Curvature, Almost Hermitian Submersions, Projective Curvature Tensor, Lagrangian Submanifolds, η-Ricci Solitons, Bi-slant Submanifold, Casorati Curvature, Complete Lift, Tangent Bundle, Chen’s Inequality, Perfect Fluids, Quaternion Space Form, Ricci Solitons, Quarter-symmetric Non-metric Connection