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AFFINE CUBIC SURFACES AND RELATIVE SL(2)-CHARACTER VARIETIES OF COMPACT SURFACES
AFFINE CUBIC SURFACES RELATIVE SL(2)-CHARACTER
2015/9/29
A natural family of affine cubic surfaces arises from
SL(2)-characters of the 4-holed sphere and the 1-holed torus. The
ideal locus is a tritangent plane which is generic in the sense that
the...
CONVEX REAL PROJECTIVE STRUCTURES ON COMPACT SURFACES
PROJECTIVE STRUCTURES COMPACT SURFACES
2015/9/29
The purpose of this paper is to investigate convex real projective structures on compact surfaces. Let RP2
be the real projective plane and
PGL(3, R) the group of projective transformations RP2
—...
Concerning the $L^4$ norms of typical eigenfunctions on compact surfaces
typical eigenfunctions compact surfaces
2010/11/8
Let $(M,g)$ be a two-dimensional compact boundaryless Riemannian manifold with Laplacian, $\Delta_g$. If $e_\lambda$ are the associated eigenfunctions of $\sqrt{-\Delta_g}$ so that $-\Delta_g e_\lamb...
Existence and uniqueness theorem for convex polyhedral metrics on compact surfaces
uniqueness theorem convex polyhedral metrics compact surfaces
2010/11/19
We state that any constant curvature Riemannian metric with conical singularities of constant sign curvature on a compact (orientable) surface $S$ can be realized as a convex polyhedron in a Riemanni...