Gauss curvature estimates for minimal graphs
Maria Nowak; Magdalena Wołoszkiewicz
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica (2011)
- Volume: 65, Issue: 2
- ISSN: 0365-1029
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Abstract
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topMaria Nowak, and Magdalena Wołoszkiewicz. "Gauss curvature estimates for minimal graphs." Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica 65.2 (2011): null. <http://eudml.org/doc/289777>.
@article{MariaNowak2011,
abstract = {We estimate the Gauss curvature of nonparametric minimal surfaces over the two-slit plane $\mathbb \{C\}\setminus ((-\infty ,-1]\cup [1,\infty ))$ at points above the interval $(-1, 1)$.},
author = {Maria Nowak, Magdalena Wołoszkiewicz},
journal = {Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica},
keywords = {},
language = {eng},
number = {2},
pages = {null},
title = {Gauss curvature estimates for minimal graphs},
url = {http://eudml.org/doc/289777},
volume = {65},
year = {2011},
}
TY - JOUR
AU - Maria Nowak
AU - Magdalena Wołoszkiewicz
TI - Gauss curvature estimates for minimal graphs
JO - Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
PY - 2011
VL - 65
IS - 2
SP - null
AB - We estimate the Gauss curvature of nonparametric minimal surfaces over the two-slit plane $\mathbb {C}\setminus ((-\infty ,-1]\cup [1,\infty ))$ at points above the interval $(-1, 1)$.
LA - eng
KW -
UR - http://eudml.org/doc/289777
ER -
References
top- Duren, P., Harmonic Mappings in the Plane, Cambridge Univ. Press, Cambridge, 2004.
- Grigorian, A., Szapiel, W., Two-slit harmonic mappings, Ann. Univ. Mariae Curie-Skłodowska Sect. A 49 (1995), 59-84.
- Hengartner, W., Schober, G., Curvature estimates for some minimal surfaces, Complex Analysis, Articles Dedicated to Albert Pfluger on the Occasion of his 80th Birthday, J. Hersch and A. Huber (eds.), Birh¨auser Verlag, Basel, 1988, pp. 87-110.
- Jun, S. H., Curvature estimates for minimal surfaces, Proc. Amer. Math. Soc. 114 (1992), no. 2, 527-533.
- Livingston, A. E., Univalent harmonic mappings II, Ann. Polon. Math. 67 (1997), no. 2, 131-145.
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