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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Gauss-Bonnet formula beyond the aspherical conjecture
超越非球面猜想 Gauss-Bonnet 曲面
2023/4/21
In this talk, I'll make a discussion on recent progress in the research of scalar curvature. I'll review the backgrounds from Gauss-Bonnet formula to the aspherical conjecture, and then focus on the f...
Curved noncommutative torus and Gauss--Bonnet
noncommutative torus Gauss--Bonnet Quantum Algebra
2012/4/18
We study perturbations of the flat geometry of the noncommutative two-dimensional torus T^2_\theta (with irrational \theta). They are described by spectral triples (A_\theta, \H, D), with the Dirac op...
The effects of nonlinear Maxwell source on the magnetic solutions in Einstein-Gauss-Bonnet gravity
nonlinear Maxwell source magnetic solutions Einstein-Gauss-Bonnet gravity
2011/3/4
Considering both the power Maxwell invariant source and the Einstein–Gauss–Bonnet gravity,
we present a new class of static solutions yields a spacetime with a longitudinal nonlinear magnetic field.
We discuss a curvature theorem for subgraphs of the flat triangular tessellations of the plane. These graphs play the analogue of ”domains” in two dimensional Euclidean space. We show that the Pusieux...