Abstract

In this this article the differential geometry of intersection curve of two surfaces in the three dimensional euclidean space is considered. In case, curvature and torsion formulas for such curve are defined.

Highlights

  • Šiame darbe nagrinejama dvieju trimates euklidines erdves paviršiu sankirtos kreives diferencialinegeometrija.

  • Kad turime du trimates euklidines erdves paviršius S1 ir S2, apibrežtus lygtimis

  • Šiu paviršiu sankirtos kreives γ = S1 ∩ S2 taškai tenkina tapatybe

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Summary

Introduction

Šiame darbe nagrinejama dvieju trimates euklidines erdves paviršiu sankirtos kreives diferencialinegeometrija. Kad turime du trimates euklidines erdves paviršius S1 ir S2, apibrežtus lygtimis Šiu paviršiu sankirtos kreives γ = S1 ∩ S2 taškai tenkina tapatybe Iš (1) tapatybes išplaukia, kad Pažymekime (Fixαi ) duα = 0.

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