https://neckpinch.com/authors/mircea-crasmareanu/New arXiv papers by Mircea Crasmareanu, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT https://neckpinch.com/papers/1706.09368/arxiv:1706.09368Wed, 28 Jun 2017 00:00:00 GMTMircea Crasmareanu, Sinem Güler — The aim of this short note is to produce new examples of geometrical flows associated to a given Riemannian flow g(t). The considered flow in covariant symmetric 2-tensor fields will be called Ricci-Yamabe map since it involves a scalar combination of Ricci tensor and scalar curvature of g(t). Due to the signs of considered scalars the Ricci-Yamabe flow can be also a Riemannian or semi-Riemannian or singular Riemannian flow. We study the associated function of volume variation as well as the volume entropy. Finally, since the two-dimensional case was the most handled situation we express the Ricci flow equation in all four orthogonal separable coordinate systems of the plane.Ricci flowYamabe flowSurfacesScalar curvature https://neckpinch.com/papers/1706.08261/arxiv:1706.08261Mon, 26 Jun 2017 00:00:00 GMTMircea Crasmareanu — This short note concerns with two inequalities in the geometry of gradient Ricci solitons (g, f, λ) on a smooth manifold M. These inequalities provide some relationships between the curvature of the Riemannian metric g and the behavior of the scalar field f through two second order equations satisfied by the scalar λ. We propose several generalizations of Ricci solitons to the setting of manifolds endowed with linear connections, not necessary of metric type.Ricci solitons