Definition of Riemannian

1. Adjective. Of or relating to Riemann's non-Euclidean geometry.

Partainyms: Riemann
Derivative terms: Riemann

Definition of Riemannian

1. Adjective. (mathematics) Relating to the branch of geometry inspired by (w Bernhard Riemann). ¹

¹ Source: wiktionary.com

Lexicographical Neighbors of Riemannian

Riedel's struma
Riedel's thyroiditis
Rieder's lymphocyte
Rieder cell leukaemia
Rieder cells
Riegel's pulse
Rieger's anomaly
Riehl's melanosis
Riemann
Riemann space
Riemann spaces
Riemann surface
Riemann zeta-function
Riemann zeta function
Riemannian
Riemannian geometry
Riemannian manifold
Rieske protein
Riesling
Rieslings
Riesman
Rieti
Rifadin
Riffian
Rift Valley fever
Rig-Veda
Rig Veda
Riga
Riga-Fede disease

Literary usage of Riemannian

Below you will find example usage of this term as found in modern and/or classical literature:

1. Yang-Mills, Kaluza-Klein, and the Einstein Program by Robert Hermann (1978)
"(Just as the curvature of a riemannian metric associated with a gravitational field provides the field equation, i . e., the Einstein equations. ..."

2. Development of Mathematics in the 19th Century by Felix Klein, Robert Hermann (1979)
"SUBMANIFOLDS OF THE SPACE OF GEODESICS OF A riemannian MANIFOLD Let Z be a manifold with a riemannian metric 'W ~* <V1'V2> ' Let S(Z) be the unit tangent ..."

3. Topics in the Mathematics of Quantum Mechanics by Robert Hermann (1973)
"Above all, each of the "kinematic" spaces described in Section 3 inherits a riemannian metric, since it may be imbedded h as a subspace of a Cartesian ..."

4. Cartanian Geometry, Nonlinear Waves, and Control Theory. by Robert Hermann (1980)
"A possible clue to such a study is to be found in work by Elie Cartan (13] on what are called “isoparametric functions” on the riemannian manifold. ..."

5. Ricci and Levi-Civita's Tensor Analysis Paper by Robert Hermann (1975)
"It is easy to see that the natural projection map M ->• a\n has (in the regular case) this riemannian submersion property. ..."

6. Topics in Physical Geometry by Robert Hermann (1988)
"However, they appear in a form that is dual to the “riemannian ... A co-riemannian metric on X is a cross-section gd of the symetric tensor product bundle ..."

7. Geometric Structures in Nonlinear Physics by Robert Hermann (1991)
"CO-riemannian METRICS The geometric objects that are dual to the ... A Co-riemannian metric on X is the geometric structure defined by a map: such that: pd ..."

8. Topics in the Geometric Theory of Integrable Mechanical Systems by Robert Hermann (1984)
"Let < , > denote the inner product that the riemannian metric defines on differential forms. (Thus, < , > is really the dual co-riemannian metric. ..."

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