Abstract
In this paper we define the contact number of a pseudo-Riemannian submanifold into the pseudo-Euclidean space, and prove that this contact number is closely related to the notion of pseudo-isotropic submanifold. We give a classification of hypersurfaces into the pseudo-Euclidean space with contact number at least 3. A classification of the complete spacelike codimension-2 submanifolds of the Lorentz-Minkowski space with contact number at least 3 is also obtained.
Citation
J. L. Cabrerizo. M. Fern´andez. J. S. G´omez. "THE CONTACT NUMBER OF A PSEUDO-EUCLIDEAN SUBMANIFOLD." Taiwanese J. Math. 12 (7) 1707 - 1720, 2008. https://doi.org/10.11650/twjm/1500405081
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