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- Tyndall National InstituteIE88 papers
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- Okinawa Institute of Science and Technology Graduate UniversityJP46 papers
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- Queen's University BelfastGB35 papers
- Center for Astrophysics Harvard & SmithsonianUS34 papers
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36 papers · 1 filter
An introduction to Cartan geometries
Benjamin McKay
We explain what Cartan geometries are, aiming at an audience of graduate students familiar with manifolds, Lie groups and differential forms.
Characteristic forms of complex Cartan geometries II
Benjamin McKay
Characteristic class relations in Dolbeault cohomology follow from the existence of a holomorphic Cartan geometry (for example, a holomorphic conformal structure or a holomorphic p…
On the elliptic sinh-Gordon equation with Durham boundary conditions
Martin Kilian, Graham Smith
We adapt Sklyanin's -matrix formalism to the sinh-Gordon equation, and prove that all free boundary constant mean curvature (CMC) annuli in the unit ball in are o…
On closed finite gap curves in spaceforms II
Sebastian Klein, Martin Kilian
We prove that the set of closed finite gap curves in hyperbolic 3-space is -dense in the Sobolev space of all closed -curves in . We…
Constant Mean Curvature Trinoids with one Irregular End
Martin Kilian, Eduardo Mota, Nicholas Schmitt
We construct a new five parameter family of constant mean curvature trinoids with two asymptotically Delaunay ends and one irregular end.
On Closed Finite Gap Curves in Spaceforms I
Sebastian Klein, Martin Kilian
We show that the spaces of closed finite gap curves in and are dense with respect to the Sobolev -norm in the spaces of closed curves in ${…