25 citations · 31 across the 9 of their papers we have counts for
6 papers · 1 filter
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…
On Geometry and Topology of 4-Orbifolds
Dmytro Yeroshkin
We prove an analogue of the result of Hsiang and Kleiner for 4-dimensional compact orbifolds with positive curvature and an isometric circle action. Additionally, we prove that whe…
Orbifold Biquotients of SU(3)
Dmytro Yeroshkin
One of the main methods of constructing new spaces with positive or almost positive curvature is the study of biquotients first studied in detail by Eschenburg. We classify orbifol…