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[[File:Saddle Tower Minimal Surfaces.png|thumb|Two periods of a 3-fold saddle tower.]] ...Math. 62 (1988) pp. 83–114.</ref><ref>H. Karcher, Construction of minimal surfaces, in "Surveys in Geometry", Univ. of Tokyo, 1989, and Lecture Notes No. 12, ...

{{About|the minimal surface|the ruled surfaces|Catalan surface}} [[File:Catalan's Minimal Surface.png|thumb|Catalan's minimal surface.]] ...

[[File:Neovius' minimal surface.png|thumb|Neovius' minimal surface in a unit cell.]] ...?PPN591417707</ref><ref>Eric A. Lord, and Alan L. Mackay, Periodic minimal surfaces of cubic symmetry, Current science, vol. 85, no. 3, 10 August 2003</ref> ...

{{short description|Triply periodic minimal surface}} ...n |last2=Larsson |title=Bonnet Transformation of Infinite Periodic Minimal Surfaces with Hexagonal Symmetry |journal=J. Chem. Soc. Faraday Trans. |year=1990 |v ...

{{Short description|Non-orientable minimal surface}} ...erential geometry]], the '''Henneberg surface''' is a [[non-orientable]] [[minimal surface]]<ref>L. Henneberg, Über salche minimalfläche, welche eine vorgesch ...

...uclidean space]]. It is named after [[Edmond Bour]], whose work on minimal surfaces won him the 1861 mathematics prize of the French Academy of Sciences.<ref>{ ...s according to the [[parametric equation]]s<ref>Weisstein, Eric W. "Bour's Minimal Surface." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram. ...

{{Short description|Minimal surface in differential geometry}} ...& Tibor Radó, World Scientific, 1992 (p. 239-240)</ref> It is a family of surfaces with one planar [[End (topology)|end]] and one [[Enneper surface]]-like sel ...

...et]] family) of a [[minimal surface]] is a one-parameter family of minimal surfaces which share the same [[Weierstrass–Enneper parameterization|Weierstrass dat ...nimal Surfaces in Euclidean Space by Examples, in Global Theory of Minimal Surfaces: ...

...Chen-Gackstatter-Thayer surfaces.png|thumb|The first nine Chen–Gackstatter surfaces.]] ...her-genus Chen–Gackstatter surfaces and the Weierstrass representation for surfaces of infinite genus|journal=Experiment. Math.|volume=4|issue=1|year=1995|page ...

...imal Surface.png|thumb|Catalan's minimal surface. It can be defined as the minimal surface symmetrically passing through a cycloid.]] ...ntial geometry]], the '''Björling problem''' is the problem of finding a [[minimal surface]] passing through a given curve with prescribed normal (or tangent ...

{{About|the ruled surfaces|the minimal surface|Catalan's minimal surface}} ...arametric equations]] of the Catalan surface are [http://www.mathcurve.com/surfaces/catalan/catalan.shtml] ...

...83.<ref>L. P. Jorge and W. H. Meeks III, The topology of complete minimal surfaces of finite total Gaussian curvature, Topology 22 (1983)</ref> ...ive-url=https://web.archive.org/web/20190712062047/http://www.indiana.edu/~minimal/research/claynotes.pdf|url-status=dead}}</ref> This produces the explicit f ...

...arz minimal surfaces''' are [[Triply periodic minimal surface|periodic]] [[minimal surface]]s originally described by [[Hermann Schwarz]]. ...y periodic minimal surfaces.<ref>Alan H. Schoen, Infinite periodic minimal surfaces without self-intersections, NASA Technical Note TN D-5541 (1970)[https://nt ...

{{short description|Constructs the minimal model of a given smooth algebraic surface}} ...eory]] of [[algebraic surface]]s to construct the [[minimal model program|minimal model]] of a given smooth algebraic surface. ...

...p film between two parallel circular wire loops generates a [[catenoid]]al minimal surface of revolution]] ...nts that produces this minimal surface of revolution.<ref name="Mathworld: Minimal Surface of Revolution"/> ...

...topological [[4-manifold]]. It holds more generally for minimal projective surfaces of general type over an algebraically closed field. ...general type]] defined over an [[algebraically closed field]] (or a smooth minimal compact complex surface of general type) with canonical divisor ''K'' = −'' ...

Are the equators in <math>\mathbb{S}^{n+1}</math> the only smooth embedded minimal hypersurfaces which are topological <math>n</math>-dimensional spheres? Let the [[N-sphere|(''n''&nbsp;−&nbsp;1) sphere]] be embedded as a minimal hypersurface in <math>S^n</math>(1). Is it necessarily an equator? ...

...erential geometry]], a '''triply periodic minimal surface (TPMS)''' is a [[minimal surface]] in <math>\mathbb{R}^3</math> that is invariant under a rank-3 [[L ...proven hard to parametrise.<ref>{{Cite web |title=Triply Periodic Minimal surfaces|work=Mathematics of the EPINET Project |url=http://epinet.anu.edu.au/mathem ...

== Minimal surfaces == ...1"/> This gives an attractive method for manufacturing whole families of [[minimal surface]]s in 4-dimensional [[manifold]]s <math>(M^4,g)</math>, in particul ...

*[[Minimal surfaces]]}} ...tle = The Conformal Structure and Geometry of Triply Periodic Minimal Surfaces in <math> \mathbb R ^ 3 </math> ...