Inequalities in Geometry and Applications
Vilcu, Gabriel Eduard (editor)
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.
KeywordsErdös–Mordell inequality; Barrow’s inequality; triangle; interior point; q-integral inequality; strongly preinvex function; Simpson inequality; quantum integral; statistical warped product submanifold; statistical manifold; B.Y.Chen inequality; Casorati curvatures; statistical soliton; Wintgen inequality; generalized complex space form; generalized Sasakian space form; Lagrangian submanifold; Legendrian submanifold; Einstein manifold; sectional curvature; Betti number; Tachibana number; spherical space form; slant submanifolds; generalized Sasakian space forms; closed form; conformal form; Maslov form; legendrian submanifolds; sasakian space forms; obata differential equation; isometric immersion; Casorati curvature; statistical submanifold; holomorphic statistical manifold; clifford minimal hypersurfaces; sasakian structure; integral inequalities; reeb function; contact vector field; δ(2,2)-invariant; Chen inequalities; Lagrangian submanifolds; quaternionic space forms; complex space forms; warped product; sphere theorem; Laplacian; inequalities; diffeomorphic; Ricci curvature; skew CR-warped product submanifolds; complex space form; CR-warped product submanifolds; semi slant warped product submanifolds; almost Hermitian manifolds; Kähler identities; Lefschetz operator; isoperimetric problem; minimal perimeter; log-concave functions; isotropic measure; extrinsic principal tangential directions; principal first normal directions
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Publication date and placeBasel, Switzerland, 2021
Research & information: general
Mathematics & science