Word.ws English Dictionary

riemannian

riemannian is the alternative letter-case form of Riemannian.

Adjective capitalized: Riemannian

Riemannian (not comparable)

  1. Of or relating to the work, or theory developed from the work, of German mathematician Bernhard Riemann, especially to Riemannian manifolds and Riemannian geometry.
    • where R is the Riemannian curvature of the metric g, regarded as an operatorname End(TM)-valued two form, and √ is the Pfaffian, which is an invariant polynomial defined on the Lie algebra of skew symmetric matrices in even dimensions.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, ̂A(M) is...
    • As the preferred metrics applied to symplectic forms are Kähler metrics one could ask for the Riemannian structure which would make the cone with the metric #92;overlineg#61;dt²#43;t²ᵍ together with the symplectic form #92;omega into a Kähler manifold. Then #92;overlineg and #92;omega define a...2010, Charles P. Boyer, Krzysztof Galicki, “Chapter 3: Sasakian geometry, holonomy, and supersymmetry”, in Vicente Cortés, editor, Handbook of Pseudo-Riemannian Geometry and Supersymmetry, European...
  2. Relating to the musical theories of German theorist Hugo Riemann, particularly his theory of harmony, which is characterised by a system of "harmonic dualism".
    • And not only theory: most central European composers of this century were schooled in Riemannian doctrine of one type or another.1994, Daniel Harrison, Harmonic Function in Chromatic Music: A Renewed Dualist Theory and an Account of Its Precedents, University of Chicago Press, page 7
    • Or take, for example, the rehabilitation by late-twentieth-century North American theorists of Riemannian Tonnetze as a means to navigate the voice-leading intricacies of much chromatic and post-chromatic music.2004, Jairo Moreno, Musical Representations, Subjects, and Objects: The Construction of Musical Thought in Zarlino, Descartes, Rameau, and Weber, Indiana University Press, page 1

Noun capitalized: Riemannian

Riemannian (plural Riemannians)

  1. One who uses or supports the work of German mathematician Bernhard Riemann.

Forms of riemannian

pluralRiemannians

Origin of riemannian

From Riemann + -ian.

Words formed from riemannian

Phrases with riemannian

Questions about riemannian

What does riemannian mean?
Riemannian means of or relating to the work, or theory developed from the work, of German mathematician Bernhard Riemann, especially to Riemannian manifolds and Riemannian geometry.
What is riemannian the alternative letter-case form of?
Riemannian is the alternative letter-case form of Riemannian.
What part of speech is riemannian?
Riemannian can be an adjective or a noun.

Words near riemannian in the dictionary

  1. Riemann-Lebesgue lemma
  2. Riemann-Roch theorem
  3. Riemann-Stieltjes integral
  4. Riemann-Stieltjes integrals
  5. Riemannean
  6. riemannian
  7. Riemannian geometries
  8. Riemannian geometry
  9. Riemannian manifold
  10. Riemannian manifolds
  11. Riemannians

Source and license

Adapted from Wiktionary: riemannian (page history and authors); Riemannian (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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