Surfaces in Euclidean space with finite total Gauss curvature arising from the solutions of an ODE

Peter B. Gilkey. University of Oregon.

Xoves 6 de novembro de 2014 ás 16 horas na aula 8.

(Join with JH Park and CY Kim)

The solution sets of two real constant coefficient ODE's define a real analytic embedding of the plane into Euclidean space. We give conditions to ensure that the embedding is geodesically complete, has infinite volume, and has finite total Gauss curvature. Under slighthy more restricted conditions, we show the mean curvature vector is in $L^3$.

© Peter B. Gilkey.