Inequalities in Geometry and Applications
Vilcu, Gabriel Eduard
Inequalities in Geometry and Applications - Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2021 - 1 electronic resource (208 p.)
Open Access
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.
Creative Commons
English
books978-3-0365-0299-1 9783036502984 9783036502991
10.3390/books978-3-0365-0299-1 doi
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
Inequalities in Geometry and Applications - Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2021 - 1 electronic resource (208 p.)
Open Access
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.
Creative Commons
English
books978-3-0365-0299-1 9783036502984 9783036502991
10.3390/books978-3-0365-0299-1 doi
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