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

Author(s)

Marek Kossowski, University of South Carolina - ColumbiaFollow

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.

Publication Info

Proceedings of the American Mathematical Society, Volume 109, Issue 3, 1990, pages 787-795.

Rights

©Proceedings of the American Mathematical Society 1990, American Mathematical Society

Kossowski, M. (1990).Lower Bounds for the Extrinsic Total Curvatures of Total Curvatures of a Space-Like Codemension 2-Surface in Minkowski Space. Proceedings Of The American Mathematical Society, 109(3), 787-795.

doi: 10.1090/s0002-9939-1990-1013972-5