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51-XX Geometry
51Hxx Topological geometry
51H20 Topological geometries on manifolds

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Shells of monotone curves

Josef Mikeš, Karl Strambach (2015)

Czechoslovak Mathematical Journal

We determine in $ℝ^{n}$ the form of curves $C$ corresponding to strictly monotone functions as well as the components of affine connections $\nabla$ for which any image of $C$ under a compact-free group $Ω$ of affinities containing the translation group is a geodesic with respect to $\nabla$ . Special attention is paid to the case that $Ω$ contains many dilatations or that $C$ is a curve in $ℝ^{3}$ . If $C$ is a curve in $ℝ^{3}$ and $Ω$ is the translation group then we calculate not only the components of the curvature and the Weyl tensor but...

Spherical Complexes and Nonprojective Tone Varieties.

G. Ewald (1986)

Discrete & computational geometry

Stable Planes with Isotropic Points.

Rainer Löwen (1983)

Mathematische Zeitschrift

Currently displaying 1 – 3 of 3

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