In 1917 Levi-Civita discovered his celebrated parallelism which is an infinitesimal transportation of tangent vectors preserving the scalar product and is the first example of a connection. The salient fact about the Levi-Civita parallelism is the result that it is the parallelism, and not the Riemannian metric, which accounts for most of the properties concerning curvature.
Shiing-Shen ChernRelated topics
connection curvature example infinitesimal metric parallelism result salient tangent transportationRelated quotes
It is a curious paradox that several of the greatest and most creative spirits in science, after achieving important discoveries by following their unfettered imaginations, were in their later years obsessed with reductionist philosophy and as a result became sterile. Hilbert was a prime example of this paradox. Einstein was another.
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A host of positive psychological changes inevitably will result from widespread economic security. The dignity of the individual will flourish when the decisions concerning his life are in his own hands, when he has the means to seek self-improvement. Personal conflicts among husbands, wives and children will diminish when the unjust measurement of human worth on the scale of dollars is eliminated.
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