Geometric invariants and principal configurations on spacelike surfaces immersed in R-3,R-1

作者:Bayard Pierre*; Sanchez Bringas Federico
来源:Proceedings of the Royal Society of Edinburgh: Section A Mathematics , 2010, 140: 1141-1160.
DOI:10.1017/S0308210509001358

摘要

We describe the numerical invariants and the curvature ellipse attached to the second fundamental form of a spacelike surface in a four-dimensional Minkowski space. We then study the configuration of the nu-principal curvature lines on a spacelike surface when the normal field nu is lightlike (the lightcone configuration). We end with some observations on the mean directionally curved lines and on the asymptotic lines on spacelike surfaces.

  • 出版日期2010