Classification of rotational special Weingarten surfaces of minimal type in S² x R and H² x R

2010/07/29 by Filippo Morabito, Morabito, Filippo, M. Magdalena Rodriguez +1
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #math.DG

paper · pdf · doi:10.48550/arxiv.1007.5273

arxiv created 2010/07/29 · arxiv updated 2010/07/30

Abstract

In this paper we finish the classification of rotational special Weingarten surfaces in S² x R and H² x R; i.e. rotational surfaces in S² x R and H² x R whose mean curvature h and extrinsic curvature K_e satisfy h=f(h²-K_e), for some function f in C¹([0,+infty)) such that 4x(f'(x))²<1 for any x>=0.

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