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Inequalities in Geometry and Applications
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This book presents the recent developments in the field of geometric inequalities and their applications. The volume covers a vast range of topics, such as complex geometry, contact geometry, statistical manifolds, Riemannian submanifolds, optimization theory, topology of manifolds, log-concave functions, Obata differential equation, Chen invariants, Einstein spaces, warped products, solitons, isoperimetric problem, Erdös–Mordell inequality, Barrow’s inequality, Simpson inequality, Chen inequalities, and q-integral inequalities. By exposing new concepts, techniques and ideas, this book will certainly stimulate further research in the field.
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Keywords
- almost Hermitian manifolds
- B.Y.Chen inequality
- Barrow’s inequality
- Betti number
- Casorati curvature
- Casorati curvatures
- Chen inequalities
- clifford minimal hypersurfaces
- closed form
- complex space form
- complex space forms
- conformal form
- contact vector field
- CR-warped product submanifolds
- diffeomorphic
- Einstein manifold
- Erdös–Mordell inequality
- extrinsic principal tangential directions
- generalized complex space form
- generalized Sasakian space form
- generalized Sasakian space forms
- holomorphic statistical manifold
- inequalities
- integral inequalities
- interior point
- isometric immersion
- isoperimetric problem
- isotropic measure
- Kähler identities
- Lagrangian submanifold
- Lagrangian submanifolds
- Laplacian
- Lefschetz operator
- Legendrian submanifold
- legendrian submanifolds
- log-concave functions
- Maslov form
- Mathematics & science
- minimal perimeter
- obata differential equation
- principal first normal directions
- q-integral inequality
- quantum integral
- quaternionic space forms
- reeb function
- Reference, information & interdisciplinary subjects
- Research & information: general
- Ricci curvature
- sasakian space forms
- sasakian structure
- sectional curvature
- semi slant warped product submanifolds
- Simpson inequality
- skew CR-warped product submanifolds
- slant submanifolds
- sphere theorem
- spherical space form
- statistical manifold
- statistical soliton
- statistical submanifold
- statistical warped product submanifold
- strongly preinvex function
- Tachibana number
- triangle
- warped product
- Wintgen inequality
- δ(2,2)-invariant
Links
DOI: 10.3390/books978-3-0365-0299-1Editions