Quotes About Riemann

Riemann Hypothesis

Sólo Riemann, incomprendido y solitario, se preocupó por establecer una nueva concepción del espacio en la que se segregaba al espacio de su inmovilidad y se posibilitaba su participación en los sucesos físicos.

Sobre la teoría de la relatividad] Debido a que el campo gravitatorio queda determinado por la configuración de masas y varía al variar dicha configuración, la estructura geométrica de este espacio depende también de los factores físicos. El espacio ya no es, pues, según esta teoría - exactamente como lo había presentido Riemann - absoluto, sino que su estructura depende de influencias físicas

Bernhard Riemann was a very pure case of the intuitive mathematician. This needs some explaining. The mathematical personality has two large components, the logical and the intuitive. Both are present in any good mathematician, but often one or the other is strongly dominant.

Riemann conjecture

The greatest problem for mathematicians now is probably the Riemann Hypothesis.

If I were to awaken after having slept for a thousand years, my first question would be: Has the Riemann hypothesis been proven?

Riemann found that in four spatial dimensions, one needs a collection of ten numbers at each point to describe its properties.

With a great deal of effort, seeking help from friends better versed in mathematics than himself, Einstein learns Riemann's math—and writes an equation where R is proportional to the energy of matter. In words: spacetime curves more where there is matter. That is it.

If I were to awaken after having slept for a thousand years, my first question would be: has the Riemann Hypothesis been proven?

He (Riemann) showed that there are three main ways space can be curved- positive curvature, negative curvature, and zero curvature. Thes correspond respectively to elliptic, hyperbolic, and Euclidean flat geometries.