2 citations · 4 across the 5 of their papers we have counts for
15 papers
Continuity of the Volume of Simplices in Classical Geometry
Feng Luo
It is proved that the volume of spherical or hyperbolic simplices, when considered as a function of the dihedral angles, can be extended continuously to degenerated simplices.
A combinatorial curvature flow for compact 3-manifolds with boundary
Feng Luo
We introduce a combinatorial curvature flow for PL metrics on compact triangulated 3-manifolds with boundary consisting of surfaces of negative Euler characteristic. The flow tends…
Combinatorial Yamabe Flow on Surfaces
Feng Luo
In this paper we develop an approach to conformal geometry of piecewise flat metrics on manifolds. In particular, we formulate the combinatorial Yamabe problem for piecewise flat m…
Lengths of simple loops on surfaces with hyperbolic metrics
Feng Luo, Richard Stong
Given a compact orientable surface of negative Euler characteristic, there exists a natural pairing between the Teichmueuller space of the surface and the set of homotopy classes o…
Combinatorial Ricci Flows on Surfaces
Bennett Chow, Feng Luo
We show that the analog of Hamilton's Ricci flow in the combinatorial setting produces solutions which converge exponentially fast to Thurston's circle packing on surfaces. As a co…
Cauchy Inequality and the Space of Measured Laminations
Feng Luo, Richard Stong
We establish a Cauchy type inequality for the geometric intersection number between two 1-dimensional submanifolds in a surface. Some of the basic results in Thurston's theory of m…