Open Access
2009 About the Densities for Straight Lines in Semi-Riemannian Spaces
Graciela Silvia Birman
J. Geom. Symmetry Phys. 14: 1-11 (2009). DOI: 10.7546/jgsp-14-2009-1-11


We find some new expressions of density for straight lines and planes in euclidean spaces of dimension two and three. Also, we show the density for straight lines in surfaces which is expressed in terms of the coefficient of the first fundamental form. Finally, the density for tangent lines to a differentiable plane curve and for tangent plane of a differentiable surface are presented.


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Graciela Silvia Birman. "About the Densities for Straight Lines in Semi-Riemannian Spaces." J. Geom. Symmetry Phys. 14 1 - 11, 2009.


Published: 2009
First available in Project Euclid: 24 May 2017

zbMATH: 1190.53072
MathSciNet: MR2536495
Digital Object Identifier: 10.7546/jgsp-14-2009-1-11

Rights: Copyright © 2009 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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