$The local isometric embedding in $\mathbb{R}^3$ of two-dimensional Riemannian manifolds with Gaussian curvature changing sign to finite order on a curve$

The local isometric embedding in $\mathbb{R}^3$ of two-dimensional Riemannian manifolds with Gaussian curvature changing sign to finite order on a curve

We consider two natural problems arising in geometry which are equivalent to the local solvability of specific equations of Monge-Ampère type. These two problems are: the local isometric embedding problem for two-dimensional Riemannian manifolds, and the problem of locally prescribed Gaussian curvat...

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Veröffentlicht in:	Journal of differential geometry 2007-06, Vol.76 (2), p.249-291
1. Verfasser:	Khuri, Marcus A.
Format:	Artikel
Sprache:	eng
Online-Zugang:	Volltext
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