Classification of rotational special Weingarten surfaces of minimal type in S^2 x R and H^2 x R

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In this paper we classify the complete rotational special Weingarten surfaces in and ; i.e. rotational surfaces in and whose mean curvature H and extrinsic curvature K (e) satisfy H = f(H (2) - K (e) ), for some function such that f(0) = 0 and 4x(f'(x))(2) < 1 for any x a parts per thousand yen 0. Furthermore we show the existence of non-complete examples of such surfaces.
Publisher
SPRINGER
Issue Date
2013-02
Language
English
Article Type
Article
Keywords

CONSTANT MEAN-CURVATURE; EMBEDDED SURFACES; UNIQUENESS; SYMMETRY

Citation

MATHEMATISCHE ZEITSCHRIFT, v.273, no.1-2, pp.379 - 399

ISSN
0025-5874
DOI
10.1007/s00209-012-1010-3
URI
http://hdl.handle.net/10203/187380
Appears in Collection
MA-Journal Papers(저널논문)
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