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Exemples d'applications holomorphes d'indice un

Rabah Souam (1993)

Annales de l'institut Fourier

Nous construisons une famille de surfaces de Riemann hyperelliptiques, de genre variable, munies de fonctions méromorphes de degré deux et d’indice un, ce qui apporte une réponse positive à une conjecture de S. Montiel et A. Ros.

Flensted-Jensen's functions attached to the Landau problem on the hyperbolic disc

Zouhaïr Mouayn (2007)

Applications of Mathematics

We give an explicit expression of a two-parameter family of Flensted-Jensen’s functions $Ψ_{μ, α}$ on a concrete realization of the universal covering group of $U (1, 1)$ . We prove that these functions are, up to a phase factor, radial eigenfunctions of the Landau Hamiltonian on the hyperbolic disc with a magnetic field strength proportional to $μ$ , and corresponding to the eigenvalue $4 α (α - 1)$ .

Hamiltonien périodique de surface : désintégration de Floquet

Laurent Guillopé (1988/1989)

Séminaire de théorie spectrale et géométrie

Handle attaching in symplectic homology and the Chord Conjecture

Kai Cieliebak (2002)

Journal of the European Mathematical Society

Arnold conjectured that every Legendrian knot in the standard contact structure on the 3-sphere possesses a haracteristic chord with respect to any contact form. I confirm this conjecture if the know has Thurston-Bennequin invariant $- 1$ . More generally, existence of chords is proved for a standard Legendrian unknot on the boundary of a subcritical Stein manifold of any dimension. There is also a multiplicity result which implies in some situations existence of infinitely many chords. The proof relies...

Harmonicity of horizontally conformal maps and spectrum of the Laplacian.

Yun, Gabjin (2002)

International Journal of Mathematics and Mathematical Sciences

Higher direct images of canonical sheaves tensorized with semi-positive vector bundles by proper Kähler morphisms.

Kensho Takegoshi (1995)

Mathematische Annalen

Index and dynamics of quantized contact transformations

Steven Zelditch (1997)

Annales de l'institut Fourier

Quantized contact transformations are Toeplitz operators over a contact manifold $(X, α)$ of the form $U_{χ} = Π A χ Π$ , where $Π : H^{2} (X) \to L^{2} (X)$ is a Szegö projector, where $χ$ is a contact transformation and where $A$ is a pseudodifferential operator over $X$ . They provide a flexible alternative to the Kähler quantization of symplectic maps, and encompass many of the examples in the physics literature, e.g. quantized cat maps and kicked rotors. The index problem is to determine $ind (U_{χ})$ when the principal symbol is unitary, or equivalently to determine...

Inégalités de Sobolev et $L^{2}$ -cohomologie

Gilles Carron (1994/1995)

Séminaire de théorie spectrale et géométrie

Inégalités isopérimétriques et inégalités de Faber-Krahn

Gilles Carron (1994/1995)

Séminaire de théorie spectrale et géométrie

Inequalities between volume, center of mass, circumscribed radius, order, and mean curvature.

Chen, Bang-yen, Jiang, Sheng (1995)

Bulletin of the Belgian Mathematical Society - Simon Stevin

Kähler manifolds with small eigenvalues of the Dirac operator and a conjecture of Lichnerowicz

Andrei Moroianu (1999)

Annales de l'institut Fourier

We describe all compact spin Kähler manifolds of even complex dimension and positive scalar curvature with least possible first eigenvalue of the Dirac operator.

Le bas du spectre d'une variété hyperbolique est un point selle

Olivier Mohsen (2007)

Annales scientifiques de l'École Normale Supérieure

Monotonicity of first eigenvalues along the Yamabe flow

Liangdi Zhang (2021)

Czechoslovak Mathematical Journal

We construct some nondecreasing quantities associated to the first eigenvalue of $- Δ_{φ} + c R$ $(c \geq \frac{1}{2} ...$

Nets on a Riemannian manifold and finite-dimensional approximations of the Laplacian [Book]

Jacek Komorowski (1979)

Nonlinear Variational Inequalities Depending on a Parameter

Goeleven, D., Théra, M. (1995) Serdica Mathematical Journal

This paper develops the results announced in the Note [14]. Using an eigenvalue problem governed by a variational inequality, we try to unify the theory concerning the post-critical equilibrium state of a thin elastic plate subjected to unilateral conditions.

A

of defect indices

(1, 1)

in the Hilbert space

L^{2} (X, μ)

that we obtained in a previous paper, we derive certain results concerning the localization of the spectrum of quasi-selfadjoint extensions of the operator

A

Currently displaying 21 – 40 of 72

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Displaying 21 – 40 of 72

Exemples d'applications holomorphes d'indice un

Flensted-Jensen's functions attached to the Landau problem on the hyperbolic disc

Hamiltonien périodique de surface : désintégration de Floquet

Handle attaching in symplectic homology and the Chord Conjecture

Harmonicity of horizontally conformal maps and spectrum of the Laplacian.

Higher direct images of canonical sheaves tensorized with semi-positive vector bundles by proper Kähler morphisms.

Index and dynamics of quantized contact transformations

Inégalités de Sobolev et $L^{2}$ -cohomologie

Inégalités isopérimétriques et inégalités de Faber-Krahn

Inequalities between volume, center of mass, circumscribed radius, order, and mean curvature.

Kähler manifolds with small eigenvalues of the Dirac operator and a conjecture of Lichnerowicz

Le bas du spectre d'une variété hyperbolique est un point selle

Monotonicity of first eigenvalues along the Yamabe flow

Nets on a Riemannian manifold and finite-dimensional approximations of the Laplacian [Book]

Nonlinear Variational Inequalities Depending on a Parameter

On a lower bound of the second eigenvalue of the Laplacian on an Einstein space

On lens spaces which are isospectral but not isometric

On quantum limits on flat tori.

On the characterizations of flat metrics by the spectrum.

On the localization of the spectrum for quasi-selfadjoint extensions of a Carleman operator

Currently displaying 21 – 40 of 72