Submanifolds of codimension two with constant Moebius curvature and flat normal bundle

• Grant number: 19/04027-7
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: May 01, 2019
• End date: February 28, 2023
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Ruy Tojeiro de Figueiredo Junior
• Grantee: Mateus da Silva Rodrigues Antas
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Associated research grant: 16/23746-6 - Algebraic, topological and analytical techniques in differential geometry and geometric analysis, AP.TEM

Abstract

We propose to classify the Euclidean submanifolds of codimension two with constant Moebius curvature and flat normal bundle. (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)

ANTAS, M. S. R.. Classification of conformally flat Moebius isoparametric submanifolds in the Euclidean space. DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, v. 97, p. 14-pg., 2024-12-01. (19/04027-7)

ANTAS, M. S. R.; TOJEIRO, R.. Submanifolds with constant Moebius curvature and flat normal bundle. MANUSCRIPTA MATHEMATICA, v. 174, n. 3-4, p. 32-pg., 2024-04-01. (22/16097-2, 19/04027-7)

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

ANTAS, Mateus da Silva Rodrigues. Submanifolds with constant Moebius curvature and flat normal bundle. 2023. Doctoral Thesis - Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB) São Carlos.