Anushree Das

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20242026

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math.DG2026

Some constructions of uniformly positive scalar curvature metrics on open manifolds

Anushree Das

We obtain several constructions of uniformly positive scalar curvature complete Riemannian metrics on open manifolds. For dimension $n \geq 3$ , we show that if such a manifold admits…

math.DG2024

Volume growth functions of complete Riemannian manifolds with positive scalar curvature

Anushree Das, Soma Maity

Let $M$ be an open manifold of dimension at least $3$ , which admits a complete metric of positive scalar curvature. For a function $v$ with bounded growth of derivative, whether $M…

math.DG2024

Volume growth on manifolds with more than one end

Anushree Das, Soma Maity

For an open manifold $M$ and a function $v$ with bounded growth of derivative, there exists a Riemannian metric of bounded geometry on $M$ such that the volume growth function lies…