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CONVEX REAL PROJECTIVE STRUCTURES ON CLOSED SURFACES ARE CLOSED
REAL PROJECTIVE STRUCTURES CLOSED SURFACES
2015/9/29
T. The deformation space t(E) of convex Rp2_ structures on a closed
surface Y with X(z) < 0 is closed in the space Hom(7r, SL(3, IR))/SL(3, IR)
of equivalence classes of representations r1 (l) -- ...
Locally nearly spherical surfaces are almost-positively $c$-curved
Locally nearly spherical surfaces almost-positively $c$-curved
2010/12/8
The c-curvature of a complete surface with Gauss curvature close to 1 in C2 norm is almost-positive (in the sense of Kim–McCann). Our proof goes by a careful case by case analysis combined with pertur...
Gauss maps of constant mean curvature surfaces in three-dimensional homogeneous spaces
Gauss maps of constant mean curvature surfaces three-dimensional homogeneous spaces
2010/11/26
It is well-known that for a surface in a 3-dimensional real space form the constancy of
the mean curvature is equivalent to the harmonicity of the Gauss map. However, this is not true
in general for...
Balanced metrics and chow stability of projective bundles over Riemann surfaces
Balanced metrics chow stability of projective bundles Riemann surfaces
2010/12/15
In 1980, I. Morrison proved that slope stability of a vector bundle of rank 2 over a compact Riemann surface implies Chow stability of the projectivization of the bundle with respect to certain polari...