# Mean directionally curved lines on surfaces immersed in R4.

Publicacions Matemàtiques (2003)

- Volume: 47, Issue: 2, page 415-440
- ISSN: 0214-1493

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topMello, Luis Fernando. "Mean directionally curved lines on surfaces immersed in R4.." Publicacions Matemàtiques 47.2 (2003): 415-440. <http://eudml.org/doc/41478>.

@article{Mello2003,

abstract = {The notion of principal configuration of immersions of surfaces into R3, due to Sotomayor and Gutierrez [16] for lines of curvature and umbilics, is extended to that of mean directional configuration for immersed surfaces in R4. This configuration consists on the families of mean directionally curved lines, along which the second fundamental form points in the direction of the mean curvature vector, and their singularities, called here H-singularities. },

author = {Mello, Luis Fernando},

journal = {Publicacions Matemàtiques},

keywords = {Geometría diferencial; Superficies; Teoría de curvatura; curvature ellipse; minimal points; inflection points; normal curvature; structural stability},

language = {eng},

number = {2},

pages = {415-440},

title = {Mean directionally curved lines on surfaces immersed in R4.},

url = {http://eudml.org/doc/41478},

volume = {47},

year = {2003},

}

TY - JOUR

AU - Mello, Luis Fernando

TI - Mean directionally curved lines on surfaces immersed in R4.

JO - Publicacions Matemàtiques

PY - 2003

VL - 47

IS - 2

SP - 415

EP - 440

AB - The notion of principal configuration of immersions of surfaces into R3, due to Sotomayor and Gutierrez [16] for lines of curvature and umbilics, is extended to that of mean directional configuration for immersed surfaces in R4. This configuration consists on the families of mean directionally curved lines, along which the second fundamental form points in the direction of the mean curvature vector, and their singularities, called here H-singularities.

LA - eng

KW - Geometría diferencial; Superficies; Teoría de curvatura; curvature ellipse; minimal points; inflection points; normal curvature; structural stability

UR - http://eudml.org/doc/41478

ER -