Displaying similar documents to “Monge-Ampère equations and surfaces with negative Gaussian curvature”

On higher dimensional Hirzebruch-Jung singularities.

Patrick Popescu-Pampu (2005)

Revista Matemática Complutense

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A germ of normal complex analytical surface is called a Hirzebruch-Jung singularity if it is analytically isomorphic to the germ at the 0-dimensional orbit of an affine toric surface. Two such germs are known to be isomorphic if and only if the toric surfaces corresponding to them are equivariantly isomorphic. We extend this result to higher-dimensional Hirzebruch-Jung singularities, which we define to be the germs analytically isomorphic to the germ at the 0-dimensional orbit of an...

Ruled W-surfaces in Minkowski 3-space 1 3

Rashad A. Abdel-Baky, H. N. Abd-Ellah (2008)

Archivum Mathematicum

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In this paper, we study a spacelike (timelike) ruled W-surface in Minkowski 3-space which satisfies nontrivial relation between elements of the set { K , K I I , H , H I I } , where ( K , H ) and ( K I I , H I I ) are the Gaussian and mean curvatures of the first and second fundamental forms, respectively. Finally, some examples are constructed and plotted.

Ruled W-surfaces in Minkowski 3-space 1 3

Rashad A. Abdel-Baky, H. N. Abd-Ellah (2008)

Archivum Mathematicum

Similarity:

In this paper, we study a spacelike (timelike) ruled W-surface in Minkowski 3-space which satisfies nontrivial relation between elements of the set { K , K I I , H , H I I } , where ( K , H ) and ( K I I , H I I ) are the Gaussian and mean curvatures of the first and second fundamental forms, respectively. Finally, some examples are constructed and plotted.