Higher codimensional Euclidean helix submanifolds
Di Scala, Antonio J. ; Ruiz-Hernández, Gabriel
Kodai Math. J., Tome 33 (2010) no. 1, p. 192-210 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
A submanifold of Rn whose tangent space makes constant angle with a fixed direction d is called a helix. Helix submanifolds are related with the eikonal PDE equation. We give a method to find every solution to the eikonal PDE on a Riemannian manifold locally. As a consequence we give a local construction of arbitrary Euclidean helix submanifolds of any dimension and codimension. Also we characterize the ruled helix submanifolds and in particular we describe those which are minimal.
Publié le : 2010-06-15
Classification:  
@article{1278076336,
     author = {Di Scala, Antonio J. and Ruiz-Hern\'andez, Gabriel},
     title = {Higher codimensional Euclidean helix submanifolds},
     journal = {Kodai Math. J.},
     volume = {33},
     number = {1},
     year = {2010},
     pages = { 192-210},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1278076336}
}

Di Scala, Antonio J.; Ruiz-Hernández, Gabriel. Higher codimensional Euclidean helix submanifolds. Kodai Math. J., Tome 33 (2010) no. 1, pp.  192-210. http://gdmltest.u-ga.fr/item/1278076336/