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MiS Preprint
79/2007

Finite Area and Volume of Pointed k-Surfaces

Graham Smith

Abstract

We define the "volume" contained by pointed $k$-surfaces, first studied by the author in [$9$], and we show that this volume is always finite. Likewise, we show that the surface area of a pointed $k$-surface is always finite.

Received:
Sep 3, 2007
Published:
Sep 3, 2007
MSC Codes:
53C42, 30F60, 51M10, 53C45, 58D10
Keywords:
immersed hypersurfaces, plateau problem, Gaussian curvature, hyperbolic space, moduli spaces, Teichmueller theory

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Preprint
2007 Repository Open Access
Graham Smith

Finite area and volume of pointed \(k\)-surfaces