A. Pigazzini

activity

20162026

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6 papers · 1 filter

math.DG2026

Yau's conjecture for the stacked Clifford tori of Wiygul

Alexander Pigazzini

We prove Yau's conjecture $λ_{1} = 2$ for the stacked Clifford tori of Wiygul: for all integers $N \geq 2$ , $k, ℓ \geq 1$ and every sufficiently large $m$ , every closed embedded minimal…

math.DG2026

A degenerate free boundary minimal annulus and non-uniqueness in spherical caps beyond the hemisphere

Alexander Pigazzini

Let ${Σ_{a}}$ , $a \in (0, 1/2)$ , be de Oliveira's family of embedded free boundary minimal annuli of revolution in geodesic balls $B (R (a)) \subset S^{3}$ , $R (a) > π /2$ . We prove th…

math.DG2026

Analytic local resolution of Medvedev's Morse index conjecture for the critical spherical catenoid in $H^{3}$

Alexander Pigazzini

Let $Σ_{a} \subset B^{3} (r (a)) \subset H^{3}$ ( $a > 1/2$ ) be the critical spherical catenoid of the Mori family, a free boundary minimal surface in the geodesic ball. The Medvedev co…

math.AP2026

Robin nullity and asymptotic geometry of the critical hyperbolic catenoid

Alexander Pigazzini

For each parameter $a > 1$ , the critical hyperbolic catenoid $Σ_{a}$ is a rotationally symmetric, free boundary minimal annulus in a geodesic ball $B^{3} (r (a)) \subset H^{3}$ . The M…

math.DG2026

The $r^{♯}$ invariant as a discriminant for the survival of the H-flux under T-duality on product manifolds

Alexander Pigazzini, Magdalena Toda

We show that the cohomological invariant $r^{♯}$ , introduced in [1] as a lower bound for the off-diagonal holonomy dimension of metric connections with totally skew torsion on p…

math.DG2026

Robin nullity in mode $∣ k ∣ = 1$ and asymptotic radius of the critical spherical catenoid

Alexander Pigazzini

Medvedev proved that the critical spherical catenoid $S i g m a_{a}$ , the rotationally symmetric free boundary minimal annulus in a geodesic ball $B^{3} (r (a))$ in $H^{3}$ from the family of…

Yau's conjecture for the stacked Clifford tori of Wiygul

A degenerate free boundary minimal annulus and non-uniqueness in spherical caps beyond the hemisphere

Analytic local resolution of Medvedev's Morse index conjecture for the critical spherical catenoid in H3

Robin nullity and asymptotic geometry of the critical hyperbolic catenoid

The r♯ invariant as a discriminant for the survival of the H-flux under T-duality on product manifolds

Robin nullity in mode ∣k∣=1 and asymptotic radius of the critical spherical catenoid

Analytic local resolution of Medvedev's Morse index conjecture for the critical spherical catenoid in $H^{3}$

The $r^{♯}$ invariant as a discriminant for the survival of the H-flux under T-duality on product manifolds

Robin nullity in mode $∣ k ∣ = 1$ and asymptotic radius of the critical spherical catenoid