27 citations · 66 across the 14 of their papers we have counts for
15 papers
Highly connected 7-manifolds, the linking form and non-negative curvature
Sebastian Goette, Martin Kerin, Krishnan Shankar
In a recent article, the authors constructed a six-parameter family of highly connected 7-manifolds which admit an SO(3)-invariant metric of non-negative sectional curvature. Each…
Estimating the reach of a manifold via its convexity defect function
Clément Berenfeld, John Harvey, Marc Hoffmann +1
The reach of a submanifold is a crucial regularity parameter for manifold learning and geometric inference from point clouds. This paper relates the reach of a submanifold to its c…
A Mobile Manipulation System for One-Shot Teaching of Complex Tasks in Homes
Max Bajracharya, James Borders, Dan Helmick +10
We describe a mobile manipulation hardware and software system capable of autonomously performing complex human-level tasks in real homes, after being taught the task with a single…
Almost Isotropic Kaehler Manifolds
Benjamin Schmidt, Krishnan Shankar, Ralf Spatzier
Let be a complete Riemannian manifold and suppose . For each unit vector , the , is…
Semi-free actions with manifold orbit spaces
John Harvey, Martin Kerin, Krishnan Shankar
In this paper, we study smooth, semi-free actions on closed, smooth, simply connected manifolds, such that the orbit space is a smoothable manifold. We show that the only simply co…
Highly connected 7-manifolds and non-negative curvature
Sebastian Goette, Martin Kerin, Krishnan Shankar
In this article, a six-parameter family of highly connected 7-manifolds which admit an SO(3)-invariant metric of non-negative sectional curvature is constructed and the Eells-Kuipe…