scholarly journals Harmonically immersed surfaces of ${\bf R}\sp n$

1988 ◽  
Vol 307 (1) ◽  
pp. 363-363
Author(s):  
Gary R. Jensen ◽  
Marco Rigoli
Keyword(s):  
Immersed Surfaces

ASYMPTOTIC CURVES ON SURFACES IN ℝ5

2008 ◽  
Vol 10 (03) ◽  
pp. 309-335 ◽  
Author(s):  
M. C. ROMERO-FUSTER ◽  
M. A. S. RUAS ◽  
F. TARI
Keyword(s):  
Fundamental Form ◽  
Second Fundamental Form ◽  
Immersed Surfaces ◽  
The Second Fundamental Form ◽  
Asymptotic Curves ◽  
Curves On Surfaces

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.

Sign in / Sign up

Export Citation Format

Share Document