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Geometry of Manifolds and Applications

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  • Adara M. Blaga

    (Department of Mathematics, West University of Timişoara, 300223 Timişoara, Romania)

Abstract

This editorial presents 24 research articles published in the Special Issue entitled Geometry of Manifolds and Applications 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 δ -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 [...]

Suggested Citation

  • Adara M. Blaga, 2025. "Geometry of Manifolds and Applications," Mathematics, MDPI, vol. 13(6), pages 1-6, March.
  • Handle: RePEc:gam:jmathe:v:13:y:2025:i:6:p:990-:d:1614803
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