Triple points of immersed surfaces in three dimensional manifolds

Locally Tame Curves and Surfaces in Three-dimensional Manifolds

Generalized Riemann minimal surfaces examples in three-dimensional manifolds products

In this paper, we construct and classify minimal surfaces foliated by horizontal constant curvature curves in M × R, where M is H, R or S. The main tool is the existence of a so called ”Shiffman” Jacobi field which characterize the property to be foliated in circles in these product manifolds.

Immersed and virtually embedded π1-injective surfaces in graph manifolds

We show that many 3-manifold groups have no nonabelian surface subgroups. For example, any link of an isolated complex surface singularity has this property. In fact, we determine the exact class of closed graph-manifolds which have no immersed 1 -injective surface of negative Euler characteristic. We also determine the class of closed graph manifolds which have no nite cover containing an embe...

Sextic surfaces with ten triple points

All families of sextic surfaces with the maximal number of isolated triple points are found. Surfaces in P3(C) with isolated ordinary triple points have been studied in [EPS]. The results are most complete for degree six. A sextic surface can have at most ten triple points, and such surfaces exist. For up to nine triple points [EPS] contains a complete classification. In this note I achieve the...

Computational study of three dimensional potential energy surfaces in intermolecular hydrogen bonding of cis-urocanic acid