Riemannian

Riemannian englannista suomeksi

1. Riemannin

0. Substantiivi

Riemannian englanniksi

1. Of or relating to the work, or theory developed from the work, of German mathematician (w), especially to manifolds and geometry.

2. 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{\operatorname{det\left (\frac{R/2}{\sinh(R/2)} \right )

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

3. {{quote-book|en|year=2010|author=Charles P. Boyer; Krzysztof Galicki|chapter=Chapter 3: Sasakian geometry, holonomy, and supersymmetry|editor=Vicente Cortés|title=Handbook of Pseudo-Riemannian Geometry and Supersymmetry|publisher=European Mathematical Society|pageurl=https://books.google.com.au/books?id=AL56H5pF3akC&pg=PA41&dq=%22Riemannian%22&hl=en&sa=X&ved=0ahUKEwi6mKyL0ObdAhWVM94KHY1SCRAQ6AEIngMwPwv=onepage&q=%22Riemannian%22&f=false|page=41

4. 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.

5. Relating to the musical theories of German theorist (w), particularly his theory of harmony, which is characterised by a system of "harmonic dualism".

6. {{quote-book|en|year=1994|author=Daniel Harrison|title=Harmonic Function in Chromatic Music: A Renewed Dualist Theory and an Account of Its Precedents|pageurl=https://books.google.com.au/books?id=_SyNx1vr-AkC&printsec=frontcover&dq=%22Riemannian%22+music&hl=en&sa=X&ved=0ahUKEwjQ6pTKoefdAhXQa94KHc7hA20Q6AEIfTAPv=onepage&q=%22Riemannian%22%20music&f=false|page=7|publisher=University of Chicago Press

7. {{quote-book|en|year=2004|author=Jairo Moreno|title=Musical Representations, Subjects, and Objects: The Construction of Musical Thought in Zarlino, Descartes, Rameau, and Weber|pageurl=https://books.google.com.au/books?id=J8uc2Slbq20C&pg=PA1&dq=%22Riemannian%22+music&hl=en&sa=X&ved=0ahUKEwjQ6pTKoefdAhXQa94KHc7hA20Q6AEIxgMwSQv=onepage&q=%22Riemannian%22%20music&f=false|page=1|publisher=Indiana University Press

8. {{quote-book|en|year=2009|author=Marek Žabka|chapter=Generalized Tonnetz and Well-Formed GTS: A Scale Theory Inspired by the Neo-Riemannians|editors=Elaine Chew; Adrian Childs; Ching-Hua Chuan|title=Mathematics and Computation in Music, 2nd International Conference, Proceedings|publisher=Springer|pageurl=https://books.google.com.au/books?id=1C_gIK3PWTUC&pg=PA286&dq=%22Riemannian%22+music&hl=en&sa=X&ved=0ahUKEwjQ6pTKoefdAhXQa94KHc7hA20Q6AEIYjAKv=onepage&q=%22Riemannian%22%20music&f=false|page=286

9. One who uses or supports the work of German mathematician (w).