Differential Geometry of Curves and Surfaces in Lorentz-Minkowski space

Details Differential Geometry of Curves and Surfaces in Lorentz-Minkowski space Differential Geometry of Curves and Surfaces in Lorentz-Minkowski space

2008-10-18

arxiv.org/abs/0810.3351v1

Mathematics

Differential Geometry

Notes of a Mini-Course taught at Instituto de Matematica e Estatistica. University of Sao Paulo, Brasil. 67 pages with 17 figu

Scientific paper

This Mini-Course gives an introduction to classical differential geometry of
curves and surfaces in Lorentz-Minkowski space $\e_1^3$. In the case of
surfaces, we will study spacelike surfaces, specially with the assumption that
its mean curvature is constant. Throughout the lectures, we will compare the
results and techniques with those ones in Euclidean ambient space.

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