Sameer Kumar

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math.DG2026

Weinstock inequality in hyperbolic space II

Pingxin Gu, Haizhong Li, Yao Wan

In this paper, we establish the Weinstock inequality for the first non-zero Steklov eigenvalue on star-shaped mean convex domains in hyperbolic space $H^{n}$ for $n \geq 3$ .…

math.DG2025

Proof of the bounded conformal conjecture

Sameer Kumar

Given any asymptotically flat 3-manifold $(M, g)$ with smooth, non-empty, compact boundary $I^£$ , the conformal conjecture states that for every $I^´ > 0$ , there exists a metric $g' = u…