Vincent E. Coll

activity

20102026

most citedCohomology of Lie semidirect products and poset algebras

13 citations · 38 across the 28 of their papers we have counts for

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4 papers · 1 filter

math.DG2020

The classification of flat Riemannian metrics on the plane

Vincent E. Coll, Lee B. Whitt

We classify all smooth flat Riemannian metrics on the two-dimensional plane. In the complete case, it is well-known that these metrics are isometric to the Euclidean metric. In the…

math.DG2019

The Flat Plane and a Constructive Proof of Minding's Theorem

Vincent E. Coll, Lee B. Whitt

Minding's most celebrated result is his namesake theorem of 1839 which established that all surfaces having the same constant curvature must be locally isometric. Today, Minding's…

math.DG2015

The Archimedean Projection Property

Vincent Coll, Jeff Dodd, Michael Harrison

Let $H$ be a hypersurface in $R^{n}$ and let $π$ be an orthogonal projection in $R^{n}$ restricted to $H$ . We say that $H$ satisfies the $A r c him e d e an$ $p r o j ec t i o n$ $pro…

math.DG2013

Extrinsic Ricci Flow on Surfaces of Revolution

Vincent Coll, Jeff Dodd, David L. Johnson

An extrinsic representation of a Ricci flow on a differentiable n-manifold M is a family of submanifolds S(t), each smoothly embedded in R^{n+k}, evolving as a function of time t s…