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Modeling Tree-like Heterophily on Symmetric Matrix Manifolds. [PDF]

Entropy (Basel)
Wu Y, Hu L, Hu J.
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Generalised killing spinors on three-dimensional Lie groups. [PDF]

Manuscr Math
Artacho D.
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Circumcenter extension maps for non-positively curved spaces. [PDF]

Geom Dedic
Incerti-Medici M.
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Ricci curvatures of contact Riemannian manifolds

Ricci curvatures of contact Riemannian manifolds
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Riemannian manifolds of quasi-constant sectional curvatures

Journal für die reine und angewandte Mathematik (Crelles Journal), 2000
A Riemannian manifold \((M,g)\) equipped with a unit vector field \(\xi\) is of quasi-constant sectional curvatures (a QC-manifold) if at each point \(p\), the sectional curvature of a two-plane \(\pi\) depends only on the angle between \(\pi\) and \(\xi\). In this paper, the authors study several aspects of this class of manifolds.
Ganchev, G., Mihova, V.
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On Gaussian and Geodesic Curvature of Riemannian Manifolds

Canadian Journal of Mathematics, 1974
In [1], S. S. Chern gave a very elegant and simple proof of the Gauss-Bonnet formula for closed (i.e. compact without boundary) oriented Riemannian manifolds of even dimension:Here, c is a suitable constant depending on the dimension of M and Ω is an n-form (n = dim M) which may be calculated from its curvature tensor. W.
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Submanifolds of constant sectional curvature in Pseudo-Riemannian manifolds

Annals of Global Analysis and Geometry, 1996
The authors deal with the geometry of isometric immersions of Riemannian manifolds \(M^n(K)\) of constant sectional curvature \(K\) in analogous \((2n-1)\)-dimensional simply connected pseudo-Riemannian manifolds \(\overline{M}^{2n-1}_s(\overline{K})\) of constant sectional curvature \(\overline{K}\) with index \(s\) \((0\leq s\leq n-1)\) and \(K\neq ...
Barbosa, João Lucas, Ferreira, Walterson, Tenenblat, Keti   +2 more
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Homogeneous Riemannian manifolds of positive Ricci curvature

Mathematical Notes, 1995
Let \(M= G/H\) be a homogeneous effective space with connected Lie group \(G\) and compact \(H\). It is proved that \(M\) admits a \(G\)-invariant Riemannian metric of positive Ricci curvature if and only if \(M\) is compact and its fundamental group is finite.
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The Curvature Duality of Riemannian Manifolds

This paper explores the multifaceted concept of curvature duality within the framework of Riemannian manifolds. Curvature, a fundamental invariant in differential geometry, encapsulates how a manifold deviates from Euclidean space. We delve into various manifestations of curvature, including the Riemann curvature tensor, Ricci curvature, and scalar ...
Revista, Zen, MATH, 10
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