Solitons and affine projectively flat surfaces

Details Solitons and affine projectively flat surfaces Solitons and affine projectively flat surfaces

2008-02-16

arxiv.org/abs/0802.2325v1

Nonlinearity and Geometry, Polish Scientific Publishers PWN, Warsow 1998,297-317

Mathematics

Differential Geometry

Scientific paper

The aim of this paper is to give a local description of affine surfaces,
whose induced Blaschke structure is projectively flat. We show that such affine
surfaces with constant Gauss affine curvature and indefinite induced Blaschke
metric are described by soliton equations.

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