Calculation of Curvature
For calculation of curvature
- of hypersurfaces and submanifolds see second fundamental form,
- in coordinates see the list of formulas in Riemannian geometry or covariant derivative,
- by moving frames see Cartan connection and curvature form.
- the Jacobi equation can help if one knows something about the behavior of geodesics.
Read more about this topic: Curvature Of Riemannian Manifolds
Famous quotes containing the words calculation of and/or calculation:
““To my thinking” boomed the Professor, begging the question as usual, “the greatest triumph of the human mind was the calculation of Neptune from the observed vagaries of the orbit of Uranus.”
“And yours,” said the P.B.”
—Samuel Beckett (1906–1989)
“Common sense is the measure of the possible; it is composed of experience and prevision; it is calculation appled to life.”
—Henri-Frédéric Amiel (1821–1881)