bounded curvature
11Minimal volume — In mathematics, in particular in differential geometry, the minimal volume is a number that describes one aspect of a Riemannian manifold s topology. This invariant was introduced by Mikhail Gromov. Contents 1 Definition 2 Related topological… …
12Riemannian geometry — Elliptic geometry is also sometimes called Riemannian geometry. Riemannian geometry is the branch of differential geometry that studies Riemannian manifolds, smooth manifolds with a Riemannian metric , i.e. with an inner product on the tangent… …
13Pelvis — The lower part of the abdomen located between the hip bones. Organs in the female pelvis include the uterus, vagina, ovaries, fallopian tubes, bladder, and rectum. * * * 1. [NA] The massive cup shaped ring of bone, with its ligaments, at the… …
14Warp drive — is a form of faster than light propulsion in the fictional universe of Star Trek, capable of propelling spacecraft or objects to many multiples of the speed of light but avoiding the problems of time dilation. It is also featured in several… …
15Amenable group — In mathematics, an amenable group is a locally compact topological group G carrying a kind of averaging operation on bounded functions that is invariant under left (or right) translation by group elements. The original definition, in terms of a… …
16Universe — For other uses, see Universe (disambiguation). Physical cosmology …
17Yamabe invariant — In mathematics, in the field of differential geometry, the Yamabe invariant (also referred to as the sigma constant) is a real number invariant associated to a smooth manifold that is preserved under diffeomorphisms. It was first written down… …
18Pluricanonical ring — In mathematics, the pluricanonical ring of an algebraic variety V (which is non singular), or of a complex manifold, is the graded ring R(V,K)=R(V,K V) of sections of powers of the canonical bundle K .Its n th graded component (for ngeq 0) is::R… …
19CAT(k) space — In mathematics, a CAT( k ) space is a specific type of metric space. Intuitively, triangles in a CAT( k ) space are slimmer than corresponding model triangles in a standard space of constant curvature k . In a CAT( k ) space, the curvature is… …
20Metric space — In mathematics, a metric space is a set where a notion of distance (called a metric) between elements of the set is defined. The metric space which most closely corresponds to our intuitive understanding of space is the 3 dimensional Euclidean… …
