40 citations · 90 across the 13 of their papers we have counts for
3 papers · 1 filter
Deformation retraction of the group of strict contactomorphisms of the three-sphere to the unitary group
Dennis DeTurck, Herman Gluck, Leandro Lichtenfelz +3
We prove that the group of strict contactomorphisms of the standard tight contact structure on the three-sphere deformation retracts to its unitary subgroup U(2).
The Four Vertex Theorem and its Converse
Dennis DeTurck, Herman Gluck, Daniel Pomerleano +1
The Four Vertex Theorem, one of the earliest results in global differential geometry, says that a simple closed curve in the plane, other than a circle, must have at least four "ve…
Cohomology of Harmonic Forms on Riemannian Manifolds With Boundary
Sylvain Cappell, Dennis DeTurck, Herman Gluck +1
Theorem. Let M be a compact, connected, oriented smooth Riemannian n-manifold with non-empty boundary. Then the cohomology of the complex (Harm*(M),d) of harmonic forms on M is giv…