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- Riemannian_circle abstract "In metric space theory and Riemannian geometry, the Riemannian circle (named after Bernhard Riemann) is a great circle equipped with its great-circle distance. In more detail, the term refers to the circle equipped with its intrinsic Riemannian metric of a compact 1-dimensional manifold of total length 2π, as opposed to the extrinsic metric obtained by restriction of the Euclidean metric to the unit circle in the plane. Thus, the distance between a pair of points is defined to be the length of the shorter of the two arcs into which the circle is partitioned by the two points.".
- Riemannian_circle thumbnail Sphere_halve.png?width=300.
- Riemannian_circle wikiPageID "19371215".
- Riemannian_circle wikiPageRevisionID "474518610".
- Riemannian_circle hasPhotoCollection Riemannian_circle.
- Riemannian_circle subject Category:Circles.
- Riemannian_circle subject Category:Metric_geometry.
- Riemannian_circle subject Category:Riemannian_geometry.
- Riemannian_circle type Abstraction100002137.
- Riemannian_circle type Attribute100024264.
- Riemannian_circle type Circle113873502.
- Riemannian_circle type Circles.
- Riemannian_circle type ConicSection113872975.
- Riemannian_circle type Ellipse113878306.
- Riemannian_circle type Figure113862780.
- Riemannian_circle type PlaneFigure113863186.
- Riemannian_circle type Shape100027807.
- Riemannian_circle comment "In metric space theory and Riemannian geometry, the Riemannian circle (named after Bernhard Riemann) is a great circle equipped with its great-circle distance. In more detail, the term refers to the circle equipped with its intrinsic Riemannian metric of a compact 1-dimensional manifold of total length 2π, as opposed to the extrinsic metric obtained by restriction of the Euclidean metric to the unit circle in the plane.".
- Riemannian_circle label "Riemannian circle".
- Riemannian_circle sameAs m.04n2fbh.
- Riemannian_circle sameAs Q6154420.
- Riemannian_circle sameAs Q6154420.
- Riemannian_circle sameAs Riemannian_circle.
- Riemannian_circle wasDerivedFrom Riemannian_circle?oldid=474518610.
- Riemannian_circle depiction Sphere_halve.png.
- Riemannian_circle isPrimaryTopicOf Riemannian_circle.
