6 citations · 7 across the 4 of their papers we have counts for
5 papers
Quasi-admissible, raisable nilpotent orbits and covering Barbasch-Vogan duality
Yi-Yang Zhang
For simply-connected Lie groups of type E over \( p \)-adic local field \( F \), we determine the degree of the cover required for a given \( F \)-split nilpotent orbit to be quasi…
Spacetime Harmonic Functions and Applications to Mass
Hubert Bray, Sven Hirsch, Demetre Kazaras +2
In the pioneering work of Stern, level sets of harmonic functions have been shown to be an effective tool in the study of scalar curvature in dimension 3. Generalizations of this i…
Diagonal form of the Varchenko matrices for oriented matroids
Assylbek Olzhabayev, YiYu Zhang
The construction of the Varchenko matrix for hyperplane arrangements, first introduced by Alexandre Varchenko, extends naturally to oriented matroids. In this paper, we generalize…
Scalar Curvature Volume Comparison Theorems for Almost Rigid Sphere
Yiyue Zhang
Bray's football theorem (\cite{bray2009penrose}) is a weakening of Bishop theorem in dimension 3. It gives a sharp volume upper bound for a three dimensional manifold with scalar c…
Proof of Bishop's volume comparison theorem using singular soap bubbles
Hubert Bray, Feng Gui, Zhenhua Liu +1
Bishop's volume comparison theorem states that a compact -manifold with Ricci curvature larger than the standard -sphere has less volume. While the traditional proof uses geo…