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Sasakian geometry and Heisenberg groups
Indranil Biswas, Hisashi Kasuya
We prove that a compact Sasakian manifolds whose first and second basic Chern classes vanish is locally isomorphic to the real Heisenberg group equipped with the standard left inva…
Theta bundle, Quillen connection and the Hodge theoretic projective structure
Indranil Biswas, Alessandro Ghigi, Carolina Tamborini
There are two canonical projective structures on any compact Riemann surface of genus at least two: one coming from the uniformization theorem, and the other from Hodge theory. The…
Higher genus maxfaces with Enneper end
Rivu Bardhan, Indranil Biswas, Pradip Kumar
We have proven the existence of new higher-genus maxfaces with Enneper end. These maxfaces are not the companions of any existing minimal surfaces, and furthermore, the singularity…
On the symplectic structure over the moduli space of projective structures on a surface
Indranil Biswas
The moduli space of projective structures on a compact oriented surface has a holomorphic symplectic structure, which is constructed by pulling back, using the monodromy map, t…
Functions on the moduli space of projective structures on complex curves
Indranil Biswas
We investigate the moduli space of smooth complex projective curves of genus equipped with a projective structure. When , it is shown that this m…