no code implementations • 26 Jan 2021 • Indranil Biswas, Mahan Mj
We prove that any one-relator group $G$ is the fundamental group of a compact Sasakian manifold if and only if $G$ is either finite cyclic or isomorphic to the fundamental group of a compact Riemann surface of genus g > 0 with at most one orbifold point of order $n \geq 1$.
Algebraic Geometry Differential Geometry Geometric Topology
no code implementations • 8 Apr 2019 • Subhojoy Gupta, Mahan Mj
A meromorphic projective structure on a punctured Riemann surface $X\setminus P$ is determined, after fixing a standard projective structure on $X$, by a meromorphic quadratic differential with poles of order three or more at each puncture in $P$.
Geometric Topology 30F30, 57M50
