40 citations · 294 across the 64 of their papers we have counts for
5 papers · 1 filter
Zero and negative eigenvalues of the conformal Laplacian
A. Rod Gover, Asma Hassannezhad, Dmitry Jakobson +1
We show that zero is not an eigenvalue of the conformal Laplacian for generic Riemannian metrics. We also discuss non-compactness for sequences of metrics with growing number of ne…
CR embedded submanifolds of CR manifolds
Sean N. Curry, A. Rod Gover
We develop a complete local theory for CR embedded submanifolds of CR manifolds in a way which parallels the Ricci calculus for Riemannian submanifold theory. In particular, we est…
Singular Yamabe Problem Willmore Energies
Michael Glaros, A. Rod Gover, Matthew Halbasch +1
We develop the calculus for hypersurface variations based on variation of the hypersurface defining function. This is used to show that the functional gradient of a new Willmore-li…
Projectively related metrics, Weyl nullity, and metric projectively invariant equations
A. Rod Gover, Vladimir S. Matveev
A metric projective structure is a manifold equipped with the unparametrised geodesics of some pseudo-Riemannian metric. We make acomprehensive treatment of such structures in the…
Conformal hypersurface geometry via a boundary Loewner-Nirenberg-Yamabe problem
A. Rod Gover, Andrew Waldron
We develop a new approach to the conformal geometry of embedded hypersurfaces by treating them as conformal infinities of conformally compact manifolds. This involves the Loewner--…