Browsing by Subject "Geodesics (Mathematics)"
Now showing items 1-3 of 3
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Geodesic fibrations of elliptic 3-manifolds
(2013)The well-known Hopf fibration of S3 is interesting in part because its fibers are geodesics, or great circles, of S3. However, this is not the only great circle fibration of S3. In 1983, Herman Gluck and Frank Warner ... -
Intersection Numbers in a Hyperbolic Surface
(2013)For a compact surface $S$ with constant negative curvature $-\kappa$ (for some $\kappa>0$) and genus $\mathfrak g\geq2$, we show that the tails of the distribution of $i(\alpha,\beta)/l(\alpha)l(\beta)$ (where $i(\alpha,\beta)$ ... -
One-dimensional Riemannian foliations on the Heisenberg group.
(2002)The main goal of our dissertation is to show that one-dimensional Riemannian foliations on the Heisenberg group H2 n+1 are homogeneous. Using our result and the homogeneity of codimension one Riemannian foliations on H ...