The Maslov form in non-invariant slant submanifolds of S-space-forms

Autor: Alfonso Carriazo, Alicia Prieto-Martín, Luis M. Fernández, Joaquín Barrera
Rok vydání: 2011
Předmět:
Zdroj: Annali di Matematica Pura ed Applicata. 191:803-818
ISSN: 1618-1891
0373-3114
DOI: 10.1007/s10231-011-0207-0
Popis: We present a characterization theorem for the Maslov form in certain non-invariant slant submanifolds of S-space-forms to be closed and, from it, we deduce a topological obstruction for these types of non-invariant slant immersions. Moreover, we also give conditions for an anti-invariant submanifolds of an S-manifold, tangent to the structure vector fields, to have closed and conformal Maslov form.
Databáze: OpenAIRE