Inflection points and asymptotic lines on Lagrangian surfaces |
| |
Institution: | Centro de Matemática da Universidade do Porto, Portugal |
| |
Abstract: | We describe the structure of the asymptotic lines near an inflection point of a Lagrangian surface, proving that in the generic situation it corresponds to two of the three possible cases when the discriminant curve has a cusp singularity. Besides being stable in general, inflection points are proved to exist on a compact Lagrangian surface whenever its Euler characteristic does not vanish. |
| |
Keywords: | Lagrangian Surfaces Inflection points Asymptotic lines |
本文献已被 ScienceDirect 等数据库收录! |