全部 标题 作者
关键词 摘要

OALib Journal期刊
ISSN: 2333-9721
费用:99美元

查看量下载量

相关文章

更多...
Mathematics  2011 

An invariant theory of marginally trapped surfaces in the four-dimensional Minkowski space

DOI: 10.1063/1.3693976

Full-Text   Cite this paper   Add to My Lib

Abstract:

A marginally trapped surface in the four-dimensional Minkowski space is a spacelike surface whose mean curvature vector is lightlike at each point. We associate a geometrically determined moving frame field to such a surface and using the derivative formulas for this frame field we obtain seven invariant functions. Our main theorem states that these seven invariants determine the surface up to a motion in Minkowski space. We introduce meridian surfaces as one-parameter systems of meridians of a rotational hypersurface in the four-dimensional Minkowski space. We find all marginally trapped meridian surfaces.

Full-Text

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133