Circles invariant under diffeomorphisms of finite order
نویسندگان
چکیده
منابع مشابه
Invariant Principal Order Ideals under Foata's Transformation
Let Φ denote Foata’s second fundamental transformation on permutations. For a permutation σ in the symmetric group Sn, let Λ̃σ = {π ∈ Sn : π 6w σ} be the principal order ideal generated by σ in the weak order 6w. Björner and Wachs have shown that Λ̃σ is invariant under Φ if and only if σ is a 132-avoiding permutation. In this paper, we consider the invariance property of Φ on the principal order ...
متن کاملRight-invariant Sobolev Metrics of Fractional Order on the Diffeomorphisms Group of the Circle
In this paper we study the geodesic flow of a right-invariant metric induced by a general Fourier multiplier on the diffeomorphisms group of the circle and on some of its homogeneous spaces. This study covers in particular right-invariant metrics induced by Sobolev norms of fractional order. We show that, under a certain condition on the symbol of the inertia operator (which is satisfied for th...
متن کاملHigher order Bézier circles
Rational Bezier and B-spline representations of circles have been heavily publicized. However, all the literature assumes the rational Bezier segments in the homogeneous space are both planar and (equivalent to) quadratic. This creates the illusion that circles can only be achieved by planar and quadratic curves. In this paper we show circles that are formed by higher order rational Bezier curv...
متن کاملStability of topologically invariant order parameters at finite temperature
Topological entanglement entropy is a topological invariant which can detect topological order of quantum many-body ground state. We assume an existence of such order parameter at finite temperature which is invariant under smooth deformation of the subsystems, and study its stability under hamiltonian perturbation. We apply this assumption to a Gibbs state of hamiltonian which satisfies so cal...
متن کاملDiffeomorphisms of Manifolds with Finite Fundamental Group
We show that the group 3i{M) of pseudoisotopy classes of diffeomorphisms of a manifold of dimension > 5 and of finite fundamental group is commensurable to an arithmetic group. As a result n0{DiffM) is a group of finite type. Let M be an «-dimensional closed smooth manifold, where n > 5, and let DiffM be the group of diffeomorphisms of M. The space DiffM (it is a topological space with the C°°-...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Differential Geometry
سال: 1979
ISSN: 0022-040X
DOI: 10.4310/jdg/1214435103