98 citations · 170 across the 26 of their papers we have counts for
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Ricci-flat graphs with girth four
Weihua He, Jun Luo, Chao Yang +1
Lin-Lu-Yau introduced an interesting notion of Ricci curvature for graphs and obtained a complete characterization for all Ricci-flat graphs with girth at least five [1]. In this p…
Brown-York mass and positive scalar curvature II - Besse's conjecture and related problems
Yi Fang, Wei Yuan
The Besse's conjecture was posted on the well-known book Einstein manifolds by Arthur L. Besse, which describes the critical point of Hilbert-Einstein functional with constraint of…
Brown-York mass and positive scalar curvature I - First eigenvalue problem and its applications
Wei Yuan
In this article, we investigate the connection between scalar curvature and first eigenfunctions via positive mass theorem for Brown-York mass. For compact manifolds with nice boun…
Wigner-Type Theorem on transition probability preserving maps in semifinite factors
Wenhua Qian, Liguang Wang, Wenming Wu +1
The Wigner's theorem, which is one of the cornerstones of the mathematical formulation of quantum mechanics, asserts that every symmetry of quantum system is unitary or anti-unitar…