engleski

Focal Sets of B-scrolls in Lorentz-Minkowski 3- space

In this presentation we analyse focal sets of B-scrolls in Lorentz-Minkowski space. B-scrolls are examples of Lorentzian surfaces having no Euclidean counterparts, characterized by the property that their shape operator is not diagonalizable. They are all ruled surfaces having null (lightlike) rulings. It was shown that their focal set degenerates to a curve which is of either null or spacelike causal character. In this work we analyse B-scrolls having a spacelike curve as the focal set.

Focal set, B-scroll, Lorentz-Minkowski space

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