Classification and global properties of Riemannian foliations

• Grant number: 17/19657-0
• Support Opportunities: Scholarships abroad - Research
• Start date: May 01, 2018
• End date: February 15, 2019
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Llohann Dallagnol Sperança
• Grantee: Llohann Dallagnol Sperança
• Host Investigator: Alexander Lytchak
• Host Institution: Instituto de Ciência e Tecnologia (ICT). Universidade Federal de São Paulo (UNIFESP). Campus São José dos Campos. São José dos Campos , SP, Brazil
• Institution abroad: University of Cologne (UoC), Germany

Abstract

In this project we intend to approach problems on regular and polar Riemannian foliations: classification of regular Riemannian foliations on compact symmetric spaces; classification of metric fibrations on the Euclidean space; completeness of dual leaves; classification of specific polar foliations on symmetric spaces; properties of polar foliations.

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)

SILVA, RENATO J. M. E.; SPERANCA, LLOHANN D.. On the completeness of dual foliations on nonnegatively curved symmetric spaces. REVISTA MATEMATICA IBEROAMERICANA, v. 38, n. 3, p. 6-pg., 2022-01-01. (17/19657-0)

CAVENAGHI, LEONARDO F.; J M E SILVA, RENATO; SPERANCA, LLOHANN D.. Positive Ricci curvature through Cheeger deformations. COLLECTANEA MATHEMATICA, v. N/A, p. 30-pg., 2023-02-16. (17/10892-7, 17/19657-0)