Inequalities in Geometry and Applications

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 func...

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collection Directory of Open Access Books
description 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.
format Online
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institution Directory of Open Access Books
language eng
publishDate 2021
publishDateRange 2021
publishDateSort 2021
publisher MDPI - Multidisciplinary Digital Publishing Institute
publisherStr MDPI - Multidisciplinary Digital Publishing Institute
record_format ojs
spelling doab-20.500.12854ir-684542024-03-28T03:32:24Z Inequalities in Geometry and Applications Vilcu, Gabriel Eduard 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 thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science 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. 2021-05-01T15:10:00Z 2021-05-01T15:10:00Z 2021 book ONIX_20210501_9783036502984_200 9783036502984 9783036502991 https://directory.doabooks.org/handle/20.500.12854/68454 eng application/octet-stream Attribution 4.0 International https://mdpi.com/books/pdfview/book/3471 https://mdpi.com/books/pdfview/book/3471 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-0365-0299-1 10.3390/books978-3-0365-0299-1 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783036502984 9783036502991 208 Basel, Switzerland open access
spellingShingle 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
thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general
thema EDItEUR::P Mathematics and Science
Inequalities in Geometry and Applications
title Inequalities in Geometry and Applications
title_full Inequalities in Geometry and Applications
title_fullStr Inequalities in Geometry and Applications
title_full_unstemmed Inequalities in Geometry and Applications
title_short Inequalities in Geometry and Applications
title_sort inequalities in geometry and applications
topic 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
thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general
thema EDItEUR::P Mathematics and Science
topic_facet 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
thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general
thema EDItEUR::P Mathematics and Science
url ONIX_20210501_9783036502984_200