 About 42,200 results  books.google.com With this we recover Fubini's [120] conformally invariant fundamental forms for
surfaces: As h? ... Clearly, other conformal invariants can then be derived from
the above conformal invariants; for example, from the conformally invariant metric
... 

 books.google.com To motivate our idea for the definition of the metric can(C), we first recall the
definition of the Arakelov metric on Riemann surfaces and the conformally
invariant Riemannian metric for Euclidean domains introduced by Leutwiler. As
we shall ... 

 books.google.com The Gdistance between any x and y ∈ G is defined as the greatest lower bound
of the lengths of all rectifiable curves connecting x and y ∈ G, and completely
contained in G. • Conformally invariant metric Let R be a Riemann surface. A
local ... 

 books.google.com In 1985, Charles Fefferman and Robin Graham [28] introduced a new and
powerful approach to the study of local invariants of conformal structures, based
on the observation that the group of conformal automorphisms of the nsphere (
the ... 

 books.google.com Conformal. Invariance. This relatively short chapter provides a general
introduction to conformal symmetry in arbitrary ... a conformal transformation of
the coordinates is an invertible mapping * »□ x', which leaves the metric tensor
invariant ... 

 books.google.com A conformal structure on a manifold is an equivalence class of Riemannian
metrics, in which two metrics are identified if ... Classically known conformally
invariant tensors include the Weyl conformal curvature tensor, which plays the
role of the ... 

 books.google.com where each Cl (g) is a complete contraction (with respect to the metric g) in the
form contr(V(m1)R ®   ~ (8 V(m“)R). ... The DeserSchwimmer conjecture: The
conjecture deals with conformally invariant integrals of Riemannian scalars. 

 books.google.com Scalar invariants. An original motivation for the ambient metric construction in [
FG1] was to construct scalar conformal invariants. In even dimensions, the
construction of invariants in [FG1] terminates at finite order owing to the failure of
the ... 

 books.google.com The Gdistance between any x and y G G is the greatest lower bound of the
lengths of all rectifiable curves connecting x and y G G and completely contained
in G. Conformally invariant metric Let R be a Riemann surface. A localparameter
(or ... 

 books.google.com Michiel Hazewinkel  1994  Preview sphere S" is the only conformal structure having a maximal (in the sense of
dimension) group of automorphisms. ... M.I. Voitsekhovskii AMS 1980 Subject
Classification: 30C35, 53A30, 20HXX CONFORMALLYINVARIANT METRIC on
a ... 

 