About 1,060 results
|c'-c'+p (i/V-gsi), a=2+p (vss£-gsJ v.). aasaa a a 8 a J We shall call the nets that |
admit conformal mappings onto geodesic net confor- mally geodesic nets.
Suppose that some conformal transformation maps the net [v,v,...,v) e Wn into • • *
* 1 2 ...
|The system has one arbitrary geodesic axis with an attached set of geodesics |
that extend as coordinate lines. All the above ... In our developed coordinate
system, “the geodesic net”, the system is non-conformal. The coordinate lines
|... of normalized V'“, 161 Intrinsic normalization of submanifold, 115 Invariance of |
isotropic geodesics, 140 Invariant(s), 70, 146 bundle of ... 78 circle, 115
conformal connection, 128 conformal frame, 67 conformally symmetric
connection, 135 connection, 134, 135 derivative, ... 66 center of, 3 Involutive
distribution, 95, 186, 188 operator, 180 principal distribution, 187 transformation,
115 Irreducible net, 94, ...
|Introduction to Geodetic Datum and Geodetic Systems Zhiping Lu ... Hence, to |
reduce the geodetic network on the ellipsoid to the plane, one needs to carry out
computations such as coordinate transformation, ... As the Gauss projection is
conformal, the direction of ... precise formulae are applied to the second-order net
, and for the third- and fourth-order calculations we use the approximate formulae
|... by (9.17) and cohomologous to 2(cp+cR) is a non-zero element of the second |
cohomology group H2(G, Hn,t) for net. ... However, in contrast to the closed
geodesic on H2/G, a number of conformal homeomorphlsms of a totally geodesic
|This mapping is conformal at O, so that the quadrangle has angle-sum 2rr. ... |
sides is the image of a closed geodesic on S. Hence S is covered by two systems
of geodesies which form a net on S. It is well known that an infinity of such nets.
|Asymptotic line: Geodesic line) and pairs of one-parameter families of them (so-|
called nets. cf. ... transport net on it. a Voss surface is characterized by a Voss net,
a ruled surface has a semi-geodesic asymptotic net. etc. ... See also Affine
differential geometry : Conformal-differential geometry ; Projective differential
|We could go on to use (18.6) to find the geodesics in this metric, which would be |
the paths followed by free point-particles. ... This topic is discussed in , and the
net result is that if we equip the '1D up' space with a conformal metric in which ...
|To get acquainted with conformal nets we will start by giving the data of a |
conformal net and look at an example. ... integer k ∈ Z≥1; in general, a level is a
biinvariant metric on G such that the square lengths of closed geodesics are in 2Z
|See also Mapping, conformal. area-preserving, 260-261 by means of central |
perspective, 112116, 145-156 by means of parallel normals or tangent planes,
193 ... See Mapping, topological. fixed point of, 324, 331 geodesic, 261 isogonal,