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...{{math|(''n'' + 1)}}-dimensional [[Euclidean space]] undergoes the [[mean curvature flow]], then its [[convolution]] with an appropriately scaled and time-reve | contribution = 3.1 The Monotonicity Formula for Mean Curvature Flow ...

...surface''' is a [[surface (mathematics)|surface]] with constant negative [[curvature]] that can be created by twisting a [[pseudosphere]].<ref>{{cite web | publisher = School of Mathematics and Statistics, University of St Andrews, Scotland ...

| alma_mater = [[University of Freiburg]] (1982, PhD) ...solutkrümmung immersierter Flächen'' (Total absolute curvature of immersed surfaces). Since 1986 he is professor at [[TU Berlin]].<ref name=homepage/> ...

| death_place = [[Vienna]], [[Federal State of Austria]] ...[[University of Vienna]]<br/>[[University of Graz]]<br/>[[Graz University of Technology]] ...

...assachusetts]])<ref>biographical information from ''American Men and Women of Science'', Thomson Gale 2004</ref> is an [[Americans|American]] [[mathemati ...itle=Tenured Faculty History|website=Department of Mathematics, University of Pennsylvania|url=https://www.math.upenn.edu/about/department-history/facult ...

'''Elasto-capillarity''' is the ability of [[capillary action|capillary]] force to [[Deformation (engineering)|deform] ...: Deforming an elastic structure with a liquid droplet | journal = Journal of Physics: Condensed Matter | volume = 22 | issue = 49 | pages = 493101 | yea ...

...er Peanoschen Fläche -Schilling XLIX, 1-.jpg|thumb|upright=1.2|right|Model of the Peano surface in the Dresden collection]] In mathematics, the '''Peano surface''' is the [[Graph of a function|graph]] of the [[Multivariate calculus|two-variable function]] ...

...edron|its dual]] in violet. It is a [[Quotient space (topology)|quotient]] of the [[order-4 pentagonal tiling]] and its dual [[order-5 square tiling|squa ...itted to the [[University of Lund]]. Note that the roots ''x''_i of the [[Bring radical|Bring quintic]] <math>x^5+ax+b = 0</math> satisfies Bri ...

...lmholtz (1858)</ref> in 1858, as part of his investigation into the motion of [[vortex filaments]] in 3 dimensions. It was first written in Hamiltonian f ...tive if it rotates clockwise (anticyclone in the N. hemisphere), and has a constant value for each point vortex. ...

...s that every [[holomorphic map]] from the complex line '''C''' to ''X'' is constant. ...teness|complete]] [[Riemannian metric]] on ''D'' with [[Gaussian curvature|curvature]] −1 (isometric to the [[hyperbolic plane]]). Namely: every holomorphic map ...

...nar [[law of cosines]] from plane [[trigonometry]], or the [[spherical law of cosines]] in [[spherical trigonometry]].<ref>{{harvp|Anderson|2005}}; {{har ...ated to spheres of imaginary radius, thus he arrived at the hyperbolic law of cosines in the form:<ref>{{harvp|Bonola|1912|p=79}}; {{harvp|Gray|1979|p=24 ...

...If continued, the line meets the starting point, and is double the length of the original strip. This single continuous curve demonstrates that the Möbi ...Cutting creates a second independent edge, half of which was on each side of the scissors. Cutting this new, longer, strip down the middle creates two s ...

...o statistically stored dislocations, with statistics of equal positive and negative signs, which arise during plastic flow from multiplication processes like t ...t1=A|last2=Parks|first2=D.M|date=March 1999|title=Crystallographic aspects of geometrically-necessary and statistically-stored dislocation density|journa ...

...ric interpretation in terms of the surface area and [[Gaussian curvature]] of each sphere. However, radial distances and angles are not accurately repre ...symmetric [[black hole]] is not static inside the horizon, and the family of (spacelike) nested spheres cannot be extended inside the horizon, so the Sc ...

| image3 = Curvature of BPST Instanton.png ...instanton is a solution to the anti-self duality equations, and therefore of the Yang–Mills equations, on '''R'''⁴. This solution can be exte ...

{{Short description|Minimised surface of liquid commecting two wetted objects}} ...unch' (6) [[sphere]] and (7) [[Nodoid|nodoid with 'haunch']]. The presence of capillary bridge, depending on their shapes, can lead to attraction or repu ...

{{Short description|Type of plane curve}} ...ndary of a convex set (blue), and has a supporting line (red) through each of its points.]] ...

{{Short description|Study of the deformation of bodies in the presence of frictional effects}} ...ffects, whereas ''[[frictionless contact mechanics]]'' assumes the absence of such effects. ...

...varieties. The specific case of Fano varieties is covered in [[K-stability of Fano varieties]].}} ...cture|conjectured]] to be equivalent to the existence of [[constant scalar curvature Kähler metric]]s ('''cscK metrics'''). ...

| work_institutions = [[University of Wisconsin-Madison]] <br>[[Brigham Young University]] | alma_mater = [[University of Utah]] ...