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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.

Erdös–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

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

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.

Research & information: general --- Mathematics & science --- Erdös–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