6 citations · 17 across the 9 of their papers we have counts for
9 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…
Spectral Torical Band Inequalities and Generalizations of the Schoen-Yau Black Hole Existence Theorem
Sven Hirsch, Demetre Kazaras, Marcus Khuri +1
Generalized torical band inequalities give precise upper bounds for the width of compact manifolds with boundary in terms of positive pointwise lower bounds for scalar curvature, a…
Rigid comparison geometry for Riemannian bands and open incomplete manifolds
Sven Hirsch, Demetre Kazaras, Marcus Khuri +1
Comparison theorems are foundational to our understanding of the geometric features implied by various curvature constraints. This paper considers manifolds with a positive lower b…
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…
Flatly Foliated Relativity
Hubert Bray, Benjamin Hamm, Sven Hirsch +2
Flatly Foliated Relativity (FFR) is a new theory which conceptually lies between Special Relativity (SR) and General Relativity (GR), in which spacetime is foliated by flat Euclide…
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…
Diagonal Form of the Varchenko Matrices
Yibo Gao, YiYu Zhang
Varchenko defined the Varchenko matrix associated to any real hyperplane arrangement and computed its determinant. In this paper, we show that the Varchenko matrix of a hyperplane…