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: City University of New York, New York (CUNY), United States
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• 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

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

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)

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)