locally flat
1Flat module — In abstract algebra, a flat module over a ring R is an R module M such that taking the tensor product over R with M preserves exact sequences.Vector spaces over a field are flat modules. Free modules, or more generally projective modules, are… …
2Flat morphism — In mathematics, in particular in the theory of schemes in algebraic geometry, a flat morphism f from a scheme X to a scheme Y is a morphism such that the induced map on every stalk is a flat map of rings, i.e., : fP : OY,f(P) → OX,P is a flat map …
3Flat manifold — In mathematics, a Riemannian manifold is said to be flat if its curvature is everywhere zero. Intuitively, a flat manifold is one that locally looks like Euclidean space in terms of distances and angles, e.g. the interior angles of a triangle add …
4Yucca Flat — is a closed desert drainage basin, one of four major nuclear test regions within the Nevada Test Site (NTS), and is divided into nine test sections: Areas 1 through 4 and 6 through 10. Yucca Flat is located at the eastern edge of NTS, about ten… …
5Conformally flat manifold — A (pseudo )Riemannian manifold is conformally flat if each point has a neighborhood that can be mapped to flat space by a conformal transformation. More formally, let (M, g) be a pseudo Riemannian manifold. Then (M, g) is conformally flat if for… …
6Bullocks Flat, New South Wales — Bullocks Flat (or Bullock s Flat) is a flat portion of the Thredbo Valley adjacent to the Thredbo River, in the New South Wales, Australia.kitubeThe flat is the site of the lower terminus of the Skitube Alpine Railway , a traction rack railway… …
7Holonomy — Parallel transport on a sphere depends on the path. Transporting from A → N → B → A yields a vector different from the initial vector. This failure to return to the initial vector is measured by the holonomy of the connection. In differential… …
8cosmos — /koz meuhs, mohs/, n., pl. cosmos, cosmoses for 2, 4. 1. the world or universe regarded as an orderly, harmonious system. 2. a complete, orderly, harmonious system. 3. order; harmony. 4. any composite plant of the genus Cosmos, of tropical… …
9Metric expansion of space — Physical cosmology Universe · Big Bang …
10Gravitational instanton — In mathematical physics and differential geometry, a gravitational instanton is a four dimensional complete Riemannian manifold satisfying the vacuum Einstein equations. They are so named because they are analogues in quantum theories of gravity… …
