Géométrie des espaces des cycles : waist et graphes minimaux
Thèses d'Orsay, no. 809 (2010) , 100 p. 
@phdthesis{BJHTUP11_2010__0809__P0_0,
     author = {Memarian, Yashar},
     title = {G\'eom\'etrie des espaces des cycles : waist et graphes minimaux},
     series = {Th\`eses d'Orsay},
     year = {2010},
     publisher = {Universite Paris-Sud Facult\'e des Sciences d'Orsay},
     number = {809},
     language = {fr},
     url = {https://www.numdam.org/item/BJHTUP11_2010__0809__P0_0/}
}
TY  - BOOK
AU  - Memarian, Yashar
TI  - Géométrie des espaces des cycles : waist et graphes minimaux
T3  - Thèses d'Orsay
PY  - 2010
IS  - 809
PB  - Universite Paris-Sud Faculté des Sciences d'Orsay
UR  - https://www.numdam.org/item/BJHTUP11_2010__0809__P0_0/
LA  - fr
ID  - BJHTUP11_2010__0809__P0_0
ER  - 
%0 Book
%A Memarian, Yashar
%T Géométrie des espaces des cycles : waist et graphes minimaux
%S Thèses d'Orsay
%D 2010
%N 809
%I Universite Paris-Sud Faculté des Sciences d'Orsay
%U https://www.numdam.org/item/BJHTUP11_2010__0809__P0_0/
%G fr
%F BJHTUP11_2010__0809__P0_0
Memarian, Yashar. Géométrie des espaces des cycles : waist et graphes minimaux. Thèses d'Orsay, no. 809 (2010), 100 p. https://www.numdam.org/item/BJHTUP11_2010__0809__P0_0/

[1] S. Alesker. Localization technique on the sphere and the Gromov-Milman theorem on the concentration phenomenon on uniformly convex sphere. Math. Sci. Res. Inst. Publ., 34 : 17-27, 1999. | Zbl | MR

[2] W.K. Allard and F.J. Almgren Jr. An introduction to regularity theory for parametric elliptic variational problems. Proc. Symp. Pure Math., XXIII, Amer. Math. Soc. (7) : 231-260, March 17 1973. | MR | Zbl | DOI

[3] W.K. Allard and F.J. Almgren Jr. The structure of stationary one dimensional varifolds with positive density. Invent. Math., 34 : 83-97, 1976. | MR | Zbl | DOI

[4] F.J. Almgren Jr. The homotopy groups of the integral cycle groups. Topology, 1 : 257-299, 1962. | MR | Zbl | DOI

[5] F.J. Almgren Jr. Plateau's Problem An invitation to Varifold Geometry. Mathematics Monographs Series. Benjamin New York, 1966. | MR | Zbl

[6] J. Arias-De-Reyna, K. Ball, and R. Villa. Concentration of the distance in finite dimensional normed spaces. Mathematika, 45 : 245-252, 1998. | MR | Zbl | DOI

[7] M. Gromov. Filling Riemannian manifolds. J. Differen. Geom., 18 : 1-147, 1983. | MR | Zbl | DOI

[8] M. Gromov. Isoperimetry of waists and concentration of maps. GAFA, 13 : 178-215, 2003. | MR | Zbl

[9] M. Gromov and V.D. Milman. Generalisation of the spherical isoperimetric inequality to uniformly convex Banach spaces. Compositio Math., 62 :3 : 263-282, 1987. | MR | Zbl | Numdam

[10] L. Guth. Minimax problems related to cup powers and Steenrod squares. GAFA, 18-6 : 1917-1987, 2008. | MR | Zbl

[11] Olof Hanner. On the uniform convexity of L p and l p . Ark.Mat., 3 : 239-244, 1956. | MR | Zbl | DOI

[12] J. Hass and F. Morgan. Geodesic nets on the 2 -sphere. Proc. Amer. Math. Soc., 124 (12) : 3843-3850, December 1996. | MR | Zbl | DOI

[13] A. Heppes. On the partition of the 2-sphere by geodesic nets. Proc. Amer. Math. Soc., 127(7) : 2163-2165, March 17 1999. | MR | Zbl | DOI

[14] Francis Hirsch and Gilles Lacombe. Elements of Functional Analysis, volume 192 of Graduate Texts in Mathematics. Springer-Verlag, 1999. | MR | Zbl

[15] M. Ledoux and S.G. Bobkov. From Brunn-Minkowski to sharp Sobolev inequalities. Ann. Mat. Pura Appl, 187 : 369-384, 2008. | MR | Zbl

[16] Michel Ledoux. The Concentration of Measure Phenomenon, volume 89 of Mathematical surveys and Monographs. American Mathematical Society, 2001. | MR | Zbl

[17] S. Markvorsen. Minimal webs in Riemannian manifolds. Geom. Dedicata, 133 : 7-34, 2008. | MR | Zbl | DOI

[18] Jiri Matousek. Using the Borsuk-Ulam Theorem. Springer-Verlag, 2000. | MR | Zbl

[19] Yashar Memarian. On Gromov's waist of the sphere theorem. Chapter 3 of this thesis, 2009. | MR | Zbl

[20] Ernest Michael. Convex structures and continuous selections. Annals of Maths, 64 : 556-575, 1956. | MR | Zbl

[21] John W. Milnor and James D. Stasheff. Characteristic Classes, volume 76 of Annals of Mathematics Studies. Princeton University Press, 1974. | MR | Zbl

[22] Jon T. Pitts. Existence and Regularity of Minimal Surfaces on Riemannian Manifolds, volume 27 of Mathematical Notes. Princeton University Press, 1981. Princeton N. J. | Zbl | MR