Title

Lower Bounds for the Extrinsic Total Curvatures of Total Curvatures of a Space-Like Codemension 2-Surface In Minkowski Space

Document Type

Article

Subject Area(s)

Mathematics

Abstract

There are three invariant curvature functions defined on any smooth space-like 2-surfaces in four-dimensional Minkowski space. (If the surface 2 2 lies in a Euclidean hyperplane then the functions agree with H2 , K2 , and (H2 — K2) . For each of these functions we show that there exists a space-like immersion of any oriented compact (or noncompact complete) surface with associated total curvature arbitrarily small.

Share

COinS