Ernst Ruh Explained

Ernst Alfred Ruh, born 23 February 1936, is a Swiss mathematician, specializing in differential geometry.

Ernst Ruh received his doctorate in 1964 from Brown University under Katsumi Nomizu with thesis On the Automorphism Groups of a G-structure. He is a professor at Ohio State University and a professor of computer science at the University of Basel (1987/89).^[1] In 1990 Ruh became a full professor (professor ordinarius) of mathematics at the University of Fribourg; he was the successor of Josef Schmid. In 2006 he retired as professor emeritus.

His name is attached to the Gromov-Ruh theorem.^[2] He was an invited speaker at the International Congress of Mathematicians at Berkeley in 1986. He became a fellow of the American Mathematical Society in 2012.

Selected publications

• with Jaak Vilms: The tension field of the Gauss map. Trans. Amer. Math. Soc.. 1970. 149. 2. 569–573. 0259768. 10.1090/s0002-9947-1970-0259768-5. Ruh. Ernst A.. Vilms. Jaak. free.
• Curvature and differentiable structure of spheres. Bull. Amer. Math. Soc.. 1971. 77. 148–150. 0270307. 10.1090/s0002-9904-1971-12640-x. Ruh. Ernst A.. free.
• Minimal immersions of 2-spheres in S⁴ . Proc. Amer. Math. Soc.. 1971. 28. 219–222. 0271880. 10.1090/s0002-9939-1971-0271880-x. Ruh. Ernst A.. free.
• with Karsten Grove and Hermann Karcher: Group actions and curvature. Bull. Amer. Math. Soc.. 1975. 81. 89–92. 0367862. 10.1090/s0002-9904-1975-13647-0. Grove. Karsten. Karcher. Hermann. Ruh. Ernst A.. free.

External links

• Ernst Ruh: entry in SNF - P3 research database
• Festkolloquium "Geometry and Analysis" for Ernst Ruh (70th birthday)
• Ernst A. Ruh: entry from Microsoft Academic Search

Notes and References

1. Bruno Colbois, Christine Riedtmann, Viktor Schroeder: Math.ch/100, European Mathematical Society 2010,, p. 347
2. Ruh, Ernst A.. 1982. Almost flat manifolds. Journal of Differential Geometry. 17. 1. 1–14. 658470. 10.4310/jdg/1214436698. free.