6 citations · 6 across the 8 of their papers we have counts for
8 papers
On a Variant of the Penrose Conjecture
Sven Hirsch, Yipeng Wang
We give a counterexample to a recently conjectured variant of the Penrose inequality.
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…
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…
Stability inequalities for one-phase cones
Benjy Firester, Raphael Tsiamis, Yipeng Wang
We obtain strict stability inequalities for homogeneous solutions of the one-phase Bernoulli problem. We prove that in dimension and above, cohomogeneity one solutions with bi-…
On fill-ins with scalar curvature bounded from below and an inequality of Hijazi-Montiel-Roldán
Simon Brendle, Raphael Tsiamis, Yipeng Wang
We consider fill-ins of spin manifolds with scalar curvature bounded by . Gromov proposed a conjecture relating the infimum of the mean curvature of such a fill-in to the…
Uniqueness of Cylindrical Tangent Cones
Benjy Firester, Raphael Tsiamis, Yipeng Wang
We show the uniqueness of the cylindrical tangent cone for area-minimizing hypersurfaces in , completing the u…
On Gromov's rigidity theorem for polytopes with acute angles
S. Brendle, Y. Wang
In his ``Four Lectures", Gromov conjectured a scalar curvature extremality property of convex polytopes. Moreover, Gromov outlined a proof of the conjecture in the special case whe…
Scalar curvature rigidity of warped product metrics
Christian Baer, Simon Brendle, Bernhard Hanke +1
We show scalar-mean curvature rigidity of warped products of round spheres of dimension at least 2 over compact intervals equipped with strictly log-concave warping functions. This…