Geometry of Manifolds and Applications

This editorial presents 24 research articles published in the Special Issue entitled <i>Geometry of Manifolds and Applications</i> of the MDPI Mathematics journal, which covers a wide range of topics from the geometry of (pseudo-)Riemannian manifolds and their submanifolds, providing som...

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Main Author: Adara M. Blaga
Format: Article
Language:English
Published: MDPI AG 2025-03-01
Series:Mathematics
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Online Access:https://www.mdpi.com/2227-7390/13/6/990
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author Adara M. Blaga
author_facet Adara M. Blaga
author_sort Adara M. Blaga
collection DOAJ
description This editorial presents 24 research articles published in the Special Issue entitled <i>Geometry of Manifolds and Applications</i> of the MDPI Mathematics journal, which covers a wide range of topics from the geometry of (pseudo-)Riemannian manifolds and their submanifolds, providing some of the latest achievements in many branches of theoretical and applied mathematical studies, among which is counted: the geometry of differentiable manifolds with curvature restrictions such as complex space forms, metallic Riemannian space forms, Hessian manifolds of constant Hessian curvature; optimal inequalities for submanifolds, such as generalized Wintgen inequality, inequalities involving <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>δ</mi></semantics></math></inline-formula>-invariants; homogeneous spaces and Poisson–Lie groups; the geometry of biharmonic maps; solitons (Ricci solitons, Yamabe solitons, Einstein solitons) in different geometries such as contact and paracontact geometry, complex and metallic Riemannian geometry, statistical and Weyl geometry; perfect fluid spacetimes [...]
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spelling doaj-art-e705115990b749bb90de529b68c2bd4b2025-08-20T03:43:37ZengMDPI AGMathematics2227-73902025-03-0113699010.3390/math13060990Geometry of Manifolds and ApplicationsAdara M. Blaga0Department of Mathematics, West University of Timişoara, 300223 Timişoara, RomaniaThis editorial presents 24 research articles published in the Special Issue entitled <i>Geometry of Manifolds and Applications</i> of the MDPI Mathematics journal, which covers a wide range of topics from the geometry of (pseudo-)Riemannian manifolds and their submanifolds, providing some of the latest achievements in many branches of theoretical and applied mathematical studies, among which is counted: the geometry of differentiable manifolds with curvature restrictions such as complex space forms, metallic Riemannian space forms, Hessian manifolds of constant Hessian curvature; optimal inequalities for submanifolds, such as generalized Wintgen inequality, inequalities involving <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>δ</mi></semantics></math></inline-formula>-invariants; homogeneous spaces and Poisson–Lie groups; the geometry of biharmonic maps; solitons (Ricci solitons, Yamabe solitons, Einstein solitons) in different geometries such as contact and paracontact geometry, complex and metallic Riemannian geometry, statistical and Weyl geometry; perfect fluid spacetimes [...]https://www.mdpi.com/2227-7390/13/6/990n/a
spellingShingle Adara M. Blaga
Geometry of Manifolds and Applications
Mathematics
n/a
title Geometry of Manifolds and Applications
title_full Geometry of Manifolds and Applications
title_fullStr Geometry of Manifolds and Applications
title_full_unstemmed Geometry of Manifolds and Applications
title_short Geometry of Manifolds and Applications
title_sort geometry of manifolds and applications
topic n/a
url https://www.mdpi.com/2227-7390/13/6/990
work_keys_str_mv AT adaramblaga geometryofmanifoldsandapplications