1 citations · 1 across the 3 of their papers we have counts for
4 papers
Ricci Flow on Torus Bundles
Dmytro Yeroshkin
In this paper we compute the Ricci flow formulas for invariant metrics on prinicpal -bundles compatible with the connection. Our primary focus is on torus bundles which we use t…
Holonomy of Manifolds with Density
Dmytro Yeroshkin
In this paper we discuss some examples and general properties of holonomy groups of introduced by Wylie and the author, the connection corresponding to the Bakry-É…
The weighted connection and sectional curvature for manifolds with density
Lee Kennard, William Wylie, Dmytro Yeroshkin
In this paper we study sectional curvature bounds for Riemannian manifolds with density from the perspective of a weighted torsion free connection introduced recently by the last t…
On the geometry of Riemannian manifolds with density
William Wylie, Dmytro Yeroshkin
We introduce a new geometric approach to a manifold equipped with a smooth density function that takes a torsion-free affine connection, as opposed to a weighted measure or Laplaci…