Riemannian

English

Etymology

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Adjective

1. Template:Lb Of or relating to the work, or theory developed from the work, of German mathematician Template:W, especially to Riemannian manifolds and Riemannian geometry.
   • 2003, Maung Min-Oo, The Dirac Operator in Geometry and Physics, Steen Markvorsen, Maung Min-Oo (editors), Global Riemannian Geometry: Curvature and Topology, Springer, page 62,

     Similarly, $\hat{A}(M)$ is represented by the closed differential form

     $\hat{A}(M)=\sqrt{\det }\left(\frac{R/2}{\sinh (R/2)}\right)$

     where $R$ is the Riemannian curvature of the metric $g$, regarded as an $\mathrm{End}(TM)$-valued two form, and $\sqrt{\det }$ is the Pfaffian, which is an invariant polynomial defined on the Lie algebra of skew symmetric matrices in even dimensions.

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   • 2012, Yves Carriere, Appendix A: Variations on Riemannian Flows, Pierre Molino, Riemannian Foliations, Springer, page 217,

     The object of this appendix is to give a summary of known results on 1-dimensional oriented Riemannian Foliations.

2. Template:Lb Relating to the musical theories of German theorist Template:W, particularly his theory of harmony, which is characterised by a system of "harmonic dualism".
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Derived terms

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Translations

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Noun

1. Template:Lb One who uses or supports the work of German mathematician Template:W.

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See also

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Further reading

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