engleski

Constant angle contact surfaces in SOL

In classical differential geometry of surfaces in Euclidean 3-space, a surface M is said to be a constant angle surface if its unit normal vector field makes constant angle with a fixed direction. The space SOL admits a contact structure compatible to the metric. Thus the Reeb vector field of the contact structure naturally defines a fixed direction. In this talk we consider surfaces in SOL which make constant angle with Reeb vector field.

Sol geometry ; constant angle surfaces ; Reeb vector field

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