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math.DG2025
Affine-Orthogonal Manifolds and Deformation to Levi-Civita Connections
Mihail Cocos
We study a class of affine manifolds equipped with a flat affine connection and a global Riemannian metric that is diagonal in local affine coordinates. These structur…
math.DG2025
A Riemannian Characterization of Compact Affine Manifolds with Parallel Volume
Mihail Cocos
We establish that any affine manifold endowed with a parallel volume form admits, in any conformal class of Riemannian metrics, a representative for which $\n…