A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2012; you can also visit the original URL.
The file type is application/pdf.
Constant Mean Curvature Spacelike Surfaces in Lorentz-Minkowski Space
[chapter]
2013
Springer Monographs in Mathematics
Preserved Fulltext
We prove that a spacelike surface in L 3 with nonzero constant mean curvature and foliated by pieces of circles in spacelike planes is a surface of revolution. When the planes containing the circles are timelike or null, examples of nonrotational constant mean curvature surfaces constructed by circles are presented. Finally, we prove that a nonzero constant mean curvature spacelike surface foliated by pieces of circles in parallel planes is a surface of revolution. Mathematics Subject Classifications (1991): 53A10, 53C42.
doi:10.1007/978-3-642-39626-7_12
fatcat:og7iepekmjawnitbzd34hqi6yy