Conditions for the normal rectilinear congruences whose focal surfaces are minimal

Abstract

The present work deals with the study of special categories of nonnal rectilinear congruences whose focal surfaces are minimal and the solution to the problem is in the form of the membrane surface [3], but also, of the way of its supporting, at points beyond its perimeter, that exist. The method applied deals with fundamental elements of the Differential Geometry and more precisely, with the theory of normal rectilinear congruence C.

Keywords:

• Differential geometry
• Membranes
• Mathematica applications

C.R. Category::

• F2.2

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Notes

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