ON GENERALIZED LN-SURFACES IN E4

Year 2013, Volume: 1 Issue: 2, 35 - 41, 01.12.2013

Betül Bulca

Abstract

The envelopes of one- and two-parameter families of spheres arevery important for applied geometry. A surface M in E4which is consideredas envelopes of its tangent planes are called LN -surface. These surfaces arequadratically parametrized in E4. In the present study we calculate the Gaussian, normal and mean curvatures of these surfaces. Further, we have pointedout the flat and minimal points of the surfaces

Keywords

Rational offsets, LN-surfaces, Envelope of spheres, Linear congruenceof lines

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• Department of Mathematics, Uluda˘g University, 16059 Bursa, Turkey
• E-mail address: [e-mail]