25 citations · 31 across the 9 of their papers we have counts for
9 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…
Connectedness of two-sided group digraphs and graphs
Patreck Chikwanda, Cathy Kriloff, Yun Teck Lee +3
Two-sided group digraphs and graphs, introduced by Iradmusa and Praeger, provide a generalization of Cayley digraphs and graphs in which arcs are determined by left and right multi…
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 Poincare Duality for Orbifolds
Dmytro Yeroshkin
In this paper we address the relation between the orbifold fundamental group and the topology of the underlying space. In particular, under the assumption that the orbifold fundame…
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…
On Levine's notorious hat puzzle
Joe Buhler, Chris Freiling, Ron Graham +5
The Levine hat game requires players, each wearing an infinite random stack of black and white hats, to guess the location of a black hat on their own head seeing only the hats…
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…