Acta Applicandae Mathematica

, Volume 8, Issue 1, pp 65–74

Topological properties of ordinary nematics in 3-space


  • Klaus Jänich
    • Fakultät für MathematikUniversität Regensburg

DOI: 10.1007/BF00046687

Cite this article as:
Jänich, K. Acta Appl Math (1987) 8: 65. doi:10.1007/BF00046687


This paper describes the topologically possible global defect behavior of ordinary nematics in 3-space. It is written for physicists interested in defects of ordered media as well as for topologists, but instead of using an ‘intermediate’ way of presentation, which might appeal to no one, we first state the result for physicists and then, discussing the proof, turn to mathematicians and physicists who are inclined to read a mathematical paper.

AMS (MOS) subject classifications (1980)


Key words

Defects in ordered medianematic liquidslinking numbersPoincaré-Hopf theorems

Copyright information

© D. Reidel Publishing Company 1987