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Showing 2012 · math.DGShow all
3 papers · 2 filters
math.DG2012
On Ricci curvature and volume growth in dimension three
Martin Reiris
We prove that any complete metric on R^3 minus a ball with non-negative Ricci curvature and quadratic Ricci-curvature decay, has cubic volume growth.
math.DG2012
Compactness of relatively isospectral sets of surfaces via conformal surgeries
Pierre Albin, Clara L. Aldana, Frédéric Rochon
We introduce a notion of relative isospectrality for surfaces with boundary having possibly non-compact ends either conformally compact or asymptotic to cusps. We obtain a compactn…
math.DG2012
Flowing maps to minimal surfaces: Existence and uniqueness of solutions
Melanie Rupflin
We study the new geometric flow that was introduced in [11] that evolves a pair of map and (domain) metric in such a way that it changes appropriate initial data into branched mini…