Diagonalization of a Pair of Quadratic Differential Forms

Autor(es)

Nikachev, A. S. ; Remizov, A. O.

• Tipo de documento: Artigo Científico
• Fonte: LOBACHEVSKII JOURNAL OF MATHEMATICS; v. 46, n. 2, p. 8-pg., 2025-02-01.

Resumo

The paper is devoted to the problem of local diagonalizability for pairs of quadratic differential forms depending on two real variables, which naturally generalizes the similar problem for algebraic quadratic forms. Here we have a new obstacle for diagonalization, which appears if a linear combination of the forms has an umbilic point, where all coefficients vanish simultaneously. The problem of local diagonalizability for single quadratic differential forms at umbilic points is also investigated. (AU)

• Processo FAPESP: 19/07316-0 - Teoria de singularidades e aplicações a geometria diferencial, equações diferenciais e visão computacional
• Beneficiário: Farid Tari
• Modalidade de apoio: Auxílio à Pesquisa - Temático