Geometry of Submanifolds and Applications (eBook)

Bang-Yen Chen, Majid Ali Choudhary, Mohammad Nazrul Islam Khan (Herausgeber)

eBook Download: PDF

2024
224 Seiten
Springer Nature Singapore (Verlag)
978-981-99-9750-3 (ISBN)

Infos

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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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 ?-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.

Produkt-Details

• Erscheint lt. Verlag: 26.3.2024
• Reihe/Serie: Infosys Science Foundation Series
• Reihe/Serie: Infosys Science Foundation Series in Mathematical Sciences
• Reihe/Serie: Infosys Science Foundation Series in Mathematical Sciences
• Zusatzinfo: X, 224 p. 5 illus., 3 illus. in color.
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• Schlagworte: Almost Contact Metric Manifolds • Almost Hermitian Manifolds • Almost Hermitian Submersions • Bi-slant Submanifold • Casorati curvature • Chen’s Inequality • complete lift • f-manifolds • golden ratio • Kaehler Submersions • Lagrangian submanifolds • Perfect Fluids • Projective Curvature Tensor • Quarter-symmetric Non-metric Connection • Quaternion Space Form • Ricci Solitons • scalar curvature • tangent bundle • Yamabe Solitons • η-Ricci Solitons
• ISBN-10: 981-99-9750-X / 981999750X
• ISBN-13: 978-981-99-9750-3 / 9789819997503