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math.DG2026
On a Variant of the Penrose Conjecture
Sven Hirsch, Yipeng Wang
We give a counterexample to a recently conjectured variant of the Penrose inequality.
math.DG2026
On the spacetime positive energy theorem in arbitrary dimension
S. Brendle, Y. Wang
We describe how the spacetime positive energy theorem in dimension follows from our recent work on the Riemannian version of the positive mass theorem. Our proof builds…
math.DG2026
Area-minimizing capillary cones
Benjy Firester, Raphael Tsiamis, Yipeng Wang
We construct non-flat minimal capillary cones with bi-orthogonal symmetry groups for any dimension and contact angle. These cones interpolate between rescalings of a singular solut…