nonsingular metric

См. также в других словарях:

• Metric tensor — In the mathematical field of differential geometry, a metric tensor is a type of function defined on a manifold (such as a surface in space) which takes as input a pair of tangent vectors v and w and produces a real number (scalar) g(v,w) in a… …   Wikipedia

• Raising and lowering indices — In mathematics and mathematical physics, given a tensor on a manifold M , in the presence of a nonsingular form on M (such as a Riemannian metric or Minkowski metric), one can raise or lower indices: change a ( k , l ) tensor to a ( k + 1, l − 1) …   Wikipedia

• Curve — For other uses, see Curve (disambiguation). A parabola, a simple example of a curve In mathematics, a curve (also called a curved line in older texts) is, generally speaking, an object similar to a line but which is not required to be straight.… …   Wikipedia

• Symplectic matrix — In mathematics, a symplectic matrix is a 2n times; 2n matrix M (whose entries are typically either real or complex) satisfying the condition:M^T Omega M = Omega,.where MT denotes the transpose of M and Omega; is a fixed nonsingular, skew… …   Wikipedia

• Inflation (cosmology) — Inflation model and Inflation theory redirect here. For a general rise in the price level, see Inflation. For other uses, see Inflation (disambiguation). Physical cosmology …   Wikipedia

• Surface — This article discusses surfaces from the point of view of topology. For other uses, see Differential geometry of surfaces, algebraic surface, and Surface (disambiguation). An open surface with X , Y , and Z contours shown. In mathematics,… …   Wikipedia

• Novikov self-consistency principle — The Novikov self consistency principle, also known as the Novikov self consistency conjecture, is a principle developed by Russian physicist Igor Dmitriyevich Novikov in the mid 1980s to solve the problem of paradoxes in time travel, which is… …   Wikipedia

• Cosmic inflation — In physical cosmology, cosmic inflation is the idea that the universe passed through a phase of exponential expansion that was driven by a negative pressure vacuum energy density. [Liddle and Lyth (2000) and Mukhanov (2005) are recent cosmology… …   Wikipedia

• Outline of astronomy — Mauna Kea in Hawaii is one of the world s premier observatory sites. Pictured is the W. M. Keck Observatory, an optical interferometer. The following outline is provided as an overview of and topical guide to astronomy: Astronomy – studies the… …   Wikipedia

• Stereographic projection — In geometry, the stereographic projection is a particular mapping (function) that projects a sphere onto a plane. The projection is defined on the entire sphere, except at one point mdash; the projection point. Where it is defined, the mapping is …   Wikipedia

• Indefinite orthogonal group — In mathematics, the indefinite orthogonal group, O( p , q ) is the Lie group of all linear transformations of a n = p + q dimensional real vector space which leave invariant a nondegenerate, symmetric bilinear form of signature ( p , q ). The… …   Wikipedia