Alexander D. McWeeney

collaborators

4 papers

math.DG2026

Calabi-Yau Conjecture for Minimal Hypersurfaces in $R^{4}$ with bounded geometry

Shrey Aryan, Alexander D. McWeeney, Giuseppe Tinaglia

The Calabi-Yau conjectures for complete minimal hypersurfaces $Σ^{n} \subset R^{n + 1}$ for $n \geq 2$ ask whether a complete minimal hypersurface must be unbounded, and more…

math.DG2026

Half-Space Theorem for Minimal Hypersurfaces in $R^{4}$

Shrey Aryan, Alexander D. McWeeney

The three-dimensional catenoid in $R^{4}$ is a complete embedded minimal hypersurface contained in a slab, showing that the half-space theorem does not extend directly to hi…

math.DG2026

On the Calabi-Yau Conjectures for Minimal Hypersurfaces in Higher Dimensions

Shrey Aryan, Alexander D. McWeeney

In this paper, we study the Calabi-Yau conjectures for complete minimal hypersurfaces $I^£^{n} \subset R^{n + 1}$ in dimensions $n \geq 3$ . These conjectures ask whether a compl…

math.DG2026

Ancient Solutions to the Biharmonic Heat Equation

Alexander D. McWeeney

We show that the space of polynomially bounded ancient solutions to the biharmonic heat equation on a complete manifold with polynomial volume growth is bounded by the dimensions o…

Calabi-Yau Conjecture for Minimal Hypersurfaces in R4 with bounded geometry

Half-Space Theorem for Minimal Hypersurfaces in R4

On the Calabi-Yau Conjectures for Minimal Hypersurfaces in Higher Dimensions

Ancient Solutions to the Biharmonic Heat Equation

Calabi-Yau Conjecture for Minimal Hypersurfaces in $R^{4}$ with bounded geometry

Half-Space Theorem for Minimal Hypersurfaces in $R^{4}$