Minimal spheres in ellipsoids

• Grant number: 19/19891-9
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: December 19, 2019
• End date: January 23, 2020
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Paolo Piccione
• Grantee: Paolo Piccione
• Visiting researcher: Renato Ghini Bettiol
• Visiting researcher institution: The City University Of New York/Cuny , United States
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• City of the host institution: São Paulo
• Associated research grant: 16/23746-6 - Algebraic, topological and analytical techniques in Differential Geometry and Geometric Analysis, AP.TEM

Abstract

We intend to prove the existence of infinitely many non-planar minimal spheres in sufficiently elongated ellipsoids. (AU)

Scientific publications

(The scientific publications listed on this page originate from the Web of Science or SciELO databases. Their authors have cited FAPESP grant or fellowship project numbers awarded to Principal Investigators or Fellowship Recipients, whether or not they are among the authors. This information is collected automatically and retrieved directly from those bibliometric databases.)

BETTIOL, RENATO G.; PICCIONE, PAOLO. Global bifurcation for a class of nonlinear ODEs. SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES, v. 16, n. 1, p. 22-pg., 2022-02-17. (16/23746-6, 19/09045-3, 19/19891-9)

BETTIOL, RENATO G.; LAURET, EMILIO A.; PICCIONE, PAOLO. The First Eigenvalue of a Homogeneous CROSS. JOURNAL OF GEOMETRIC ANALYSIS, v. 32, n. 3, MAR 2022. (19/19891-9, 19/09045-3, 16/23746-6)

BETTIOL, RENATO G.; DERDZINSKI, ANDRZEJ; MOSSA, ROBERTO; PICCIONE, PAOLO. Subspace foliations and collapse of closed flat manifolds. Mathematische Nachrichten, v. 295, n. 12, p. 19-pg., 2022-10-31. (19/19891-9, 19/16286-7, 16/23746-6, 18/08971-9)