Skip to main content
Log in

Über die isotropen Strahlensysteme

  • Published:
manuscripta mathematica Aims and scope Submit manuscript

Abstract

The main purpose of this paper is to derive integral formulas for the isotropic congruences of the three dimensional Euclidean space. In the last chapter we investigate a special congruence which is derived by a suitable transformation from a given isotropic congruence.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

Literatur

  1. EISENHART, L.P.: A treatise on the Differential Geometry of curves and surfaces. Dover, New York 1960.

    Google Scholar 

  2. FINIKOW, S.P.: Theorie der Kongruenzen. Akademie Verlag, Berlin 1959.

    Google Scholar 

  3. HAACK, W.: Elementare Differentialgeometrie. Birkhäuser, Basel-Stuttgart 1955.

    Google Scholar 

  4. HOSCHEK, J.: Liniengeometrie. Zürich 1971.

  5. KOMMERELL, K.: Strahlensysteme und Minimalflächen. Math. Ann.70, 143–160 (1911).

    Google Scholar 

  6. ROSSINSKI, C.D.: Sur un cas de déformation des congruences isotropes et sur une transformation des surfaces minima qui s'y rattachent. Rend. Palermo59, 82–96 (1935).

    Google Scholar 

  7. STAMOU, G.: Strahlensysteme mit gemeinsamem sphärischen Bild. Manuscripta math.15, 329–340 (1975).

    Google Scholar 

  8. STEPHANIDIS, N.K.: Beitrag zur Theorie der Strahlensysteme. Habilitationsschrift TU Berlin 1964.

  9. STEPHANIDIS, N.K.: Strahlensysteme mit gemeinsamer Mittenhüllfläche. Monatsh. Math.70, 64–73 (1966).

    Google Scholar 

  10. STEPHANIDIS, N.K.: Integralformeln in der Liniengeometrie. Math. Nachr.43, 1–9 (1970).

    Google Scholar 

  11. VINCENSINI, P.: Congruences isotropes et surfaces minima. CR193, 689 (1931).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Stamou, G. Über die isotropen Strahlensysteme. Manuscripta Math 18, 15–23 (1976). https://doi.org/10.1007/BF01170532

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01170532

Navigation