359 citations
- Australian National UniversityAU211 papers
- Chongqing UniversityCN12 papers
- International Centre for Radio Astronomy ResearchAU12 papers
- Curtin UniversityAU11 papers
- The University of MelbourneAU9 papers
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- Centre National de la Recherche ScientifiqueFR8 papers
- La Trobe UniversityAU7 papers
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- Max Planck Institute for AstrophysicsDE6 papers
22 papers · 1 filter
Geometric inequalities involving three quantities in warped product manifolds
Kwok-Kun Kwong, Yong Wei
In this paper, we establish two families of sharp geometric inequalities for closed hypersurfaces in space forms or other warped product manifolds. Both families of inequalities co…
Ancient Ricci flows of bounded girth
Theodora Bourni, Timothy Buttsworth, Ramiro Lafuente +1
For each , we construct a 'pancake-like', -invariant ancient Ricci flow with positive curvature operator and bounded "girth", and we determine its asympt…
Remarks on the Quadratic Orthogonal Bisectional Curvature
Kyle Broder
We exhibit a curious link between the Quadratic Orthogonal Bisectional Curvature, combinatorics, and distance geometry. The Weitzenböck curvature operator, acting on real (1,1)--fo…
Classification of convex ancient free boundary curve shortening flows in the disc
Theodora Bourni, Mat Langford
We classify convex ancient curve shortening flows in the disc with free boundary on the circle.
Harmonic mean curvature flow and geometric inequalities
Ben Andrews, Yingxiang Hu, Haizhong Li
In this article, we will use the harmonic mean curvature flow to prove a new class of Alexandrov-Fenchel type inequalities for strictly convex hypersurfaces in hyperbolic space in…
Homotopy type of manifolds with partially horoconvex boundary
Changwei Xiong
Let be an -dimensional compact connected manifold with boundary, a constant and an integer. We prove that supports a Riemannian metric with the i…