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Heinz Hopf (19 November 1894 – 3 June 1971) was a German mathematician who worked on the fields of dynamical systems, topology and geometry.
Without doubt Heinz Hopf was one of the most distinguished mathematicians of the twentieth century. His work is closely linked with the emergence of algebraic topology; it is most decisively thanks to his early works that this area established itself as a new and important branch of mathematics. his work has influenced profoundly the evolution ...
German mathematician known for his work in algebraic topology. Hopf became interested in mathematics while serving in World War I. Later, he studied at the University of Berlin and in 1925 received his Ph.D.
In the mathematical field of differential topology, the Hopf fibration (also known as the Hopf bundle or Hopf map) describes a 3-sphere (a hypersphere in four-dimensional space) in terms of circles and an ordinary sphere. Discovered by Heinz Hopf in 1931, it is an influential early example of a fiber bundle.
The Selecta Heinz Hopf appeared in 1964 and have been out of print for a long time; they contain a rather small part of his work. Only as a whole can his publications, made available here, provide a true picture of his research personality and the penetrating force of his ideas.
The Total Curvature (Curvatura Inteqra) of a Closed Surface with Riemannian Metric and Poincaré’s Theorem on the Singularities of Fields of Line Elements. Heinz Hopf. Pages 107-118. Download chapter PDF.
Heinz Hopf demonstrated doing mathematics in talks, lecture courses, discussions and in his publications. I remember the introductory linear algebra course in 1947-48, the impression Heinz Hopf made on us students was outstanding and unforgettable.
