coordinate hypersurface

См. также в других словарях:

• Coordinate surface — The coordinate surfaces of a three dimensional coordinate system are the surfaces on which a particular coordinate of the system is constant, while the coordinate lines are the curves along which two of the coordinates of the system are constant …   Wikipedia

• Homogeneous coordinate ring — In algebraic geometry, the homogeneous coordinate ring R of an algebraic variety V given as a subvariety of projective space of a given dimension N is by definition the quotient ring R = K[X0, X1, X2, ..., XN]/I where I is the homogeneous ideal… …   Wikipedia

• Spacetime — For other uses of this term, see Spacetime (disambiguation). Two dimensional analogy of spacetime distortion. Matter changes the geometry of spacetime, this (curved) geometry being interpreted as gravity. White lines do not represent the… …   Wikipedia

• Deriving the Schwarzschild solution — The Schwarzschild solution is one of the simplest and most useful solutions of the Einstein field equations (see general relativity). It describes spacetime in the vicinity of a non rotating massive spherically symmetric object. It is worthwhile… …   Wikipedia

• Method of characteristics — In mathematics, the method of characteristics is a technique for solving partial differential equations. Typically, it applies to first order equations, although more generally the method of characteristics is valid for any hyperbolic partial… …   Wikipedia

• Schwarzschild coordinates — In the theory of Lorentzian manifolds, spherically symmetric spacetimes admit a family of nested round spheres . In such a spacetime, a particularly important kind of coordinate chart is the Schwarzschild chart, a kind of polar spherical… …   Wikipedia

• Born coordinates — / ) are time like curves with fixed R .In relativistic physics, the Born coordinate chart is a coordinate chart for (part of) Minkowski spacetime, the flat spacetime of special relativity. It is often used to analyze the physical experience of… …   Wikipedia

• Second fundamental form — In differential geometry, the second fundamental form is a quadratic form on the tangent plane of a smooth surface in the three dimensional Euclidean space, usually denoted by II. Together with the first fundamental form, it serves to define… …   Wikipedia

• 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

• Orthogonal coordinates — In mathematics, orthogonal coordinates are defined as a set of d coordinates q = (q1, q2, ..., qd) in which the coordinate surfaces all meet at right angles (note: superscripts are indices, not exponents). A coordinate surface for a particular… …   Wikipedia

• Synchronous coordinates — In general relativity, the synchronous reference system is a coordinate system in which the metric takes the form:ds^2= dt^2+h {ab}dx^adx^b,where the Latin indices a and b are summed over the spatial directions and h {ab} is a spatial metric. Any …   Wikipedia