Hermitian Form Metric
In 1905 Study wrote "Kürzeste Weg im complexen Gebiet" (Shortest path in complex domains) for Mathematische Annalen (60:321–378). Some of its contents were anticipated by Guido Fubini a year before. The distance Study refers to is a Hermitian form on complex projective space. Since then this metric has been called the Fubini–Study metric. Study was careful in 1905 to distinguish the hyperbolic and elliptic cases in Hermitian geometry.
Read more about this topic: Eduard Study
Famous quotes containing the word form:
“Have you never been moved by poor men’s fidelity, the image of you they form in their simple minds? Why should you always talk of their envy, without understanding that what they ask of you is not so much your worldly goods, as something very hard to define, which they themselves can put no name to; yet at times it consoles their loneliness; a dream of splendor, of magnificence, a tawdry dream, a poor man’s dream—and yet God blesses it!”
—Georges Bernanos (1888–1948)