Milan Jovanovic

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math.DG2026

H-principle for corank two distributions of odd rank and maximal first Kronecker index

Milan Jovanovic, Igor Zelenko

We study corank-two distributions $D$ of odd rank $2 N + 1$ whose associated pencil of skew-symmetric forms ${d α ∣_{D} (q) ∣ α \in Ω^{1} (M), α ∣_{D} = 0}$ lies, at every point, in the gen…

math.DG2026

Positive scalar curvature on products of noncompact manifolds

Lizhi Chen, Kuntao Jin, Milan Jovanovic

We prove that the product of three connected noncompact smooth manifolds without boundary admits a complete metric of uniformly positive scalar curvature. The proof uses the additi…