Zero mean curvature surfaces in containing a light-like line

Autor: Masaaki Umehara, Wayne Rossman, H. Takahashi, Sung-Eun Koh, Young Wook Kim, Seong-Deog Yang, Heayong Shin, Shoichi Fujimori, Kotaro Yamada
Rok vydání: 2012
Předmět:
Zdroj: Comptes Rendus Mathematique. 350:975-978
ISSN: 1631-073X
DOI: 10.1016/j.crma.2012.10.024
Popis: It is well known that space-like maximal surfaces and time-like minimal surfaces in Lorentz–Minkowski 3-space L 3 have singularities (i.e. points where the induced metric degenerates) in general. We are interested in the case where the singular set consists of a light-like line, since this case has not been analyzed before. In this Note, we give new examples of such surfaces.
Databáze: OpenAIRE