[PDF] Top 20 Conformal structures on compact complex manifolds

... with compact complex manifolds which admit a particular kind of structure: holomorphic non-degenerate 2-forms valued in a line ...bundle. Manifolds admitting such a structure will be called ... Voir le document complet

... des structures complexes sur les espaces homog` enes de SL(2, C), ...of compact holomorphic symplectic manifolds which are not K¨ ahlerian ... Voir le document complet

... holomorphic conformal structures are among the important geometric examples of holomorphic Cartan geometries [ Sh ...setting, compact complex manifolds admitting a holomorphic Cartan ... Voir le document complet

... is complex linear follows from the holomorphy of f ∧ ...regular complex Lie group structure on the group O(M, K) which is compatible with ...connected complex manifold and K a complex regular ... Voir le document complet

... the conformal class c. Of particular interest is the case of compact complex surfaces, where recent works [ 6 , 9 , 10 , 19 ] showed that lcK metric exists for all known examples of compact ... Voir le document complet

... (linearly compact) annihilation Lie algebra Lie − R of a finite Lie conformal algebra R to the calculus structure (C • (R, M ), C • (R, M )) which induces an isomorphism of the reduced by ∂ former calculus ... Voir le document complet

... Our second result is an extension of Gromoll and Meyer’s theorem to a class of possibly non-compact Riemannian manifolds, that is, a confirmation of the closed geodesics conjecture for this class. Theorem ... Voir le document complet

... G– structures [Am], to rigid geometric structures [DG, Grom] and also to Cartan geometries [Me, ...connected complex Lie group G acting by biholomorphisms on M that preserves the holomorphic ... Voir le document complet

... problem on compact manifolds Ph. Delano¨ e † Abstract We consider Monge’s optimal transport problem posed on compact manifolds (possibly with boundary) for a lower semi-continuous cost ... Voir le document complet

... ψ(x) := dφ −1 φ(x) ψ(φ(x)) denotes the usual pullback e of e ψ via φ.  5. An application: Q-tensor fields and line fields. In the mathematical modelling of Liquid Crystals two different theories are eminent. In the ... Voir le document complet

... 1 The theorem All manifolds considered in this article are connected. Let (M, J, g, ω) be a compact connected Kähler manifold of complex dimension m ≥ 3. Fix an integer 2 ≤ k ≤ m − 1. Let ϕ : M → R ... Voir le document complet

... plex manifolds (SL(2, C) ⋉ C 3 )/Γ are not K¨ahler in the “non properly discontinuous” case by Corollary 3.6. It seems to be a difficult problem to decide the K¨ahler question for these quotients in the “properly ... Voir le document complet

... Friction is the other contact force that is highly non linear and coupled with the normal force. Friction models in a hydrodynamic environment can be quite complex. At the low speeds required for inspection, ... Voir le document complet

... g and not on the chart but [Bart] proved it. We refer to [SY1, SY2, Wit, Bart, LP] for details and “classical” proofs and to [Loh] for a more recent and more general treatment. The mathematical interest of such a theorem ... Voir le document complet

... as Conformal Field Theories (CFTs). Conformal Field Theories in fact occupy particularly special points in the space of all possible ...class”. Conformal Field Theories are the theories at the fixed ... Voir le document complet

... Keywords: Complex manifolds, deformations, Kodaira-Spencer classes, theorem of existence, Calabi-Y au manifolds, Tian-Todorov theorem, Newlander-Nirenberg theorem... RÉSUMÉ.[r] ... Voir le document complet

... a complex abelian Lie algebra acts holomorphically on a complex manifold M with a dense open orbit preserving a holomorphic affine connection, then it also preserves a flat torsion-free holomorphic affine ... Voir le document complet

... of a closed Frobenius algebra. The main theorem of this section recovers a the- orem in [TZ06], because the inner product induces an isomorphism A ≃ A ∨ of A-bimodules, so that all structures can be transferred ... Voir le document complet

... In a further work the authors will address the question of (semi)stability of flat holo- morphic vector bundles over Ghys’s deformations of parallelizable manifolds SL(2, C)/Γ constructed in [7]. It should be ... Voir le document complet

... In this section, we recall Hardy spaces H L p associated with a given operator L on manifolds. The operator L is either acting on functions or on differential 1-forms. These Hardy spaces have been studied by ... Voir le document complet