journal article Sep 01, 1989

Constant mean curvature tori with spherical curvature lines in noneuclidean geometry

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References
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ABRESCH, U., Constant mean curvature tori in terms of elliptic functions. J. reine u. angew. Math.374 (1987), 169?192
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ABRESCH, U., Old and new periodic solutions of the sinh-Gordon equation. Sem. on New Results in PDE, 37?73, Aspects of Math., Vieweg-Verlag: Braunschweig/Wiesbaden 1987
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LAWSON, H. B., Jr., Complete minimal surfaces in $3. Ann. Math. 2. ser.92 (1970), 335?374 10.2307/1970625
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SPIVAK, M., A comprehensive introduction to differential geometry, Vol. IV, p. i-v and 1?561. Publish or Perish: Boston 1975
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WALTER, R., Zum H-Satz von H. Hopf. Preprint 1982
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WALTER, R., Compact hypersurfaces with a constant higher mean curvature function. Math. Ann.270 (1985), 125?145 10.1007/bf01455537
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WALTER, R., Explicit examples to the H-problem of Heinz Hopf. Geom. Ded.23 (1987), 187?213. 10.1007/bf00181275
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WENTE, H. C., Counterexample to a Conjecture of H. Hopf. Pac. J. Math.121 (1986), 193?243 10.2140/pjm.1986.121.193
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WENTE, H. C., Twisted Tori of constant mean curvature in 363-01. Sem. on New Results in PDE, 1-36. Aspects of Math. Vieweg-Verlag: Braunschweig/Wiesbaden 1987
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Published
Sep 01, 1989
Vol/Issue
63(3)
Pages
343-363
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Cite This Article
Rolf Walter (1989). Constant mean curvature tori with spherical curvature lines in noneuclidean geometry. Manuscripta Mathematica, 63(3), 343-363. https://doi.org/10.1007/bf01168376
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