6533b837fe1ef96bd12a26c3

RESEARCH PRODUCT

ASYMPTOTIC CURVES ON SURFACES IN ℝ5

Farid TariM.c. Romero-fusterMaria Aparecida Soares Ruas

subject

Surface (mathematics)Asymptotic curveAsymptotic analysisApplied MathematicsGeneral MathematicsSecond fundamental formMathematical analysisGravitational singularityAsymptotic expansionMathematics

description

We study asymptotic curves on generically immersed surfaces in ℝ5. We characterize asymptotic directions via the contact of the surface with flat objects (k-planes, k = 1 - 4), give the equation of the asymptotic curves in terms of the coefficients of the second fundamental form and study their generic local configurations.

yearjournalcountryeditionlanguage
2008-06-01Communications in Contemporary Mathematics
https://doi.org/10.1142/s0219199708002806