1,721,111 research outputs found

    A note on the l^2-norm of the second fundamental form of algebraic manifolds

    Full text link
    2000 Mathematics Subject Classification: 53C42, 53C55.Let M f → CP^n be an algebraic manifold of complex dimension d and let σf be its second fundamental form. In this paper we address the following conjecture, which is the analogue of the one stated by M. Gromov for smooth immersions: ... We prove the conjecture in the following three cases: (i) d = 1; (ii) M is a complete intersection; (iii) the scalar curvature of M is constant

    Projectively induced Kähler cones over regular Sasakian manifolds

    No full text
    Motivated by a conjecture in Loi et al. (Math Zeit 290:599–613, 2018) we prove that the Kähler cone over a regular complete Sasakian manifold is Ricci-flat and projectively induced if and only if it is flat. We also obtain that, up to Da—homothetic transformations, Kähler cones over homogeneous compact Sasakian manifolds are projectively induced. As main tool we provide a relation between the Kähler potentials of the transverse Kähler metric and of the cone metric

    Isometric immersions of locally conformally Kähler manifolds

    Full text link
    We investigate isometric immersions of locally conformally Kähler metrics into Hopf manifolds. In particular, we study Hopf-induced metrics on compact complex surfaces

    Global symplectic coordinates on gradient Kähler–Ricci solitons

    Full text link
    A classical result of McDuff [14] asserts that a simply connected complete Kähler manifold (M, g, ω) with non positive sectional curvature admits global symplectic coordinates through a symplectomorphism Ψ: M → R^2n (where n is the complex dimension of M), satisfying the following property (proved by E. Ciriza in [4]): the image Ψ(T) of any complex totally geodesic submanifold T ⊂ M through the point p such that Ψ(p) = 0, is a complex linear subspace of Cn ≃ R^2n. The aim of this paper is to exhibit, for all positive integers n, examples of n-dimensional complete Kähler manifolds with non-negative sectional curvature globally symplectomorphic to R^2n through a symplectomorphism satisfying Ciriza's property

    Invariant escaping Fatou components with two rank-one limit functions for automorphisms of C2

    Full text link
    We construct automorphisms of C2, and more precisely transcendental Hénon maps, with an invariant escaping Fatou component which has exactly two distinct limit functions, both of (generic) rank one. We also prove a general growth lemma for the norm of points in orbits belonging to invariant escaping Fatou components for automorphisms of the form F(z,w)=(g(z,w),z) with g(z,w): C2 → C holomorphic

    Protezione offerta da un CIC ad una lega di alluminio

    No full text
    L'efficacia di un Corrosion Inhibiting Compound (CIC) nella prevenzione della corrosione su una lega di alluminio ad alta resistenza meccanica, esposta a diversi ambienti aggressivi, è stata valutata nel tempo utilizzando misure di impedenza elettrochimica (EIS)
    corecore