• 629 Citations
  • 12 h-Index
20012020

Research output per year

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Research Output

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Article
2019

Abundance of minimal surfaces

Marques, F. C., Sep 1 2019, In : Japanese Journal of Mathematics. 14, 2, p. 207-229 23 p.

Research output: Contribution to journalArticle

Equidistribution of minimal hypersurfaces for generic metrics

Marques, F. C., Neves, A. & Song, A., May 1 2019, In : Inventiones Mathematicae. 216, 2, p. 421-443 23 p.

Research output: Contribution to journalArticle

3 Scopus citations

Morse theory for the area functional

Marques, F. C. & Neves, A., 2019, (Accepted/In press) In : Sao Paulo Journal of Mathematical Sciences.

Research output: Contribution to journalArticle

2018

Density of minimal hypersurfaces for generic metricsc

Irie, K., Marques, F. C. & Neves, A., May 1 2018, In : Annals of Mathematics. 187, 3, p. 963-972 10 p.

Research output: Contribution to journalArticle

12 Scopus citations

Weyl law for the volume spectrum

Liokumovich, Y., Marques, F. C. & Neves, A., May 1 2018, In : Annals of Mathematics. 187, 3, p. 933-961 29 p.

Research output: Contribution to journalArticle

11 Scopus citations
2017
3 Scopus citations

Existence of infinitely many minimal hypersurfaces in positive Ricci curvature

Marques, F. C. & Neves, A., Aug 1 2017, In : Inventiones Mathematicae. 209, 2, p. 577-616 40 p.

Research output: Contribution to journalArticle

25 Scopus citations
2016

Min-max theory and the energy of links

Agol, I., Marques, F. C. & Neves, A., Apr 2016, In : Journal of the American Mathematical Society. 29, 2, p. 561-578 18 p.

Research output: Contribution to journalArticle

3 Scopus citations
2014

Min-Max theory and the Willmore conjecture

Marques, F. C. & Neves, A., Mar 2014, In : Annals of Mathematics. 179, 2, p. 683-782 100 p.

Research output: Contribution to journalArticle

132 Scopus citations
2013

Min-max theory, Willmore conjecture and the energy of links

Marques, F. C. & Neves, A., Dec 1 2013, In : Bulletin of the Brazilian Mathematical Society. 44, 4, p. 681-707 27 p.

Research output: Contribution to journalArticle

2 Scopus citations
2012

Deforming three-manifolds with positive scalar curvature

Marques, F. C., Sep 2012, In : Annals of Mathematics. 176, 2, p. 815-863 49 p.

Research output: Contribution to journalArticle

18 Scopus citations

Rigidity of min-max minimal spheres in three-manifolds

Marques, F. C. & Neves, N., Nov 1 2012, In : Duke Mathematical Journal. 161, 14, p. 2725-2752 28 p.

Research output: Contribution to journalArticle

30 Scopus citations
2011

Deformations of the hemisphere that increase scalar curvature

Brendle, S., Marques, F. C. & Neves, A., Jul 2011, In : Inventiones Mathematicae. 185, 1, p. 175-197 23 p.

Research output: Contribution to journalArticle

31 Scopus citations

Scalar curvature rigidity of geodesic balls in Sn

Brendle, S. & Marques, F. C., Jan 1 2011, In : Journal of Differential Geometry. 88, 3, p. 379-394 16 p.

Research output: Contribution to journalArticle

12 Scopus citations
2009

A compactness theorem for the yamabe problem

Khuri, M. F., Marques, F. C. & Schoen, R. M., Jan 1 2009, In : Journal of Differential Geometry. 81, 1, p. 143-196 54 p.

Research output: Contribution to journalArticle

84 Scopus citations

Blow-up examples for the Yamabe problem

Coda Santos Cavalcanti Marques, F., Oct 1 2009, In : Calculus of Variations and Partial Differential Equations. 36, 3, p. 377-397 21 p.

Research output: Contribution to journalArticle

5 Scopus citations

Blow-up phenomena for the yamabe equation II

Brendle, S. & Marques, F. C., Jan 1 2009, In : Journal of Differential Geometry. 81, 2, p. 225-250 26 p.

Research output: Contribution to journalArticle

79 Scopus citations
2008
8 Scopus citations
2007
37 Scopus citations
2005

A priori estimates for the yamabe problem in the non-locally conformally flat case

Marques, F. C., Jan 1 2005, In : Journal of Differential Geometry. 71, 2, p. 315-346 32 p.

Research output: Contribution to journalArticle

65 Scopus citations
2001

Upper bounds for the first eigenvalue of the operator Lr and some applications

Alencar, H., Do Carmo, M. & Marques, F., 2001, In : Illinois Journal of Mathematics. 45, 3, p. 851-863 13 p.

Research output: Contribution to journalArticle

Open Access
11 Scopus citations