Skip to content

Differential Geometry papers — page 22

dg-gaBrowse archive

Hermitian structures and harmonic morphisms in higher dimensional Euclidean spaces
We construct new complex-valued harmonic morphisms from Euclidean spaces from functions which are holomorphic with respect to Hermitian structures. In particular, we give the first global examples of…
P. Baird, J. C. WoodOct 13, 1994
Learn
A construction of singular solutions for a semilinear elliptic equation using asymptotic analysis
The aim of this paper is to prove the existence of weak solutions to the equation Δu + up = 0 which are positive in a domain Ω⊂ RN, vanish at the boundary, and have prescribed…
Rafe Mazzeo, Frank PacardOct 10, 1994
Learn
On Rumin's Complex and Adiabatic Limits
This paper shows that when the Riemannian metric on a contact manifold is blown up along the direction orthogonal to the contact distribution, the corresponding harmonic forms rescaled and normalized…
Zhong GeOct 5, 1994
Learn
3-manifolds with(out) metrics of nonpositive curvature
In the context of Thurstons geometrisation program we address the question which compact aspherical 3-manifolds admit Riemannian metrics of nonpositive curvature. We show that non-geometric Haken…
Bernhard LeebOct 4, 1994
Learn
Dressing orbits of harmonic maps
We study the harmonic map equations for maps of a Riemann surface into a Riemannian symmetric space of compact type from the point of view of soliton theory. There is a well-known dressing action of…
F. E. Burstall, F. PeditOct 4, 1994
Learn
On multilinear operators commuting with Lie derivatives
Let E1,… ,Ek and E be natural vector bundles defined over the category Mfm+ of smooth oriented m--dimensional manifolds and orientation preserving local diffeomorphisms, with…
Andreas Cap, Jan SlovakSep 28, 1994
Learn
On the nonHamiltonian interaction of two rotators
Classical dynamical equations describing a certain version of the nonHamiltonian interaction of two rotators (Euler tops with completely degenerate inertia tensors) are considered. The simplest case…
Denis V. JurievSep 23, 1994
Learn
The spectrum of an asymptotically hyperbolic Einstein manifold
This paper relates the spectrum of the scalar Laplacian of an asymptotically hyperbolic Einstein metric to the conformal geometry of its ``ideal boundary'' at infinity. It follows from work…
John M. LeeSep 19, 1994
Learn
Scalar-Flat Kaehler Surfaces of All Genera
Let (M,J) be a compact complex 2-manifold which which admits a Kaehler metric for which the integral of the scalar curvature is non-negative. Also suppose that M does not admit a Ricci-flat Kähler…
Jongsu Kim, Claude LeBrun, Massimiliano PontecorvoSep 9, 1994
Learn
Fano Manifolds, Contact Structures, and Quaternionic Geometry
Let Z be a compact complex (2n+1)-manifold which carries a complex contact structure, meaning a codimension-1 holomorphic sub-bundle D of TZ which is maximally non-integrable. If Z admits a…
Claude LeBrunSep 9, 1994
Learn
On the Dirichlet problem for harmonic maps with prescribed singularities
Let be a classical Riemannian globally symmetric space of rank one and non-compact type. We prove the existence and uniqueness of solutions to the Dirichlet problem for harmonic maps into …
Gilbert WeinsteinAug 26, 1994
Learn
The Moduli Space of Complete Embedded Constant Mean Curvature Surfaces
We examine the space of surfaces in 3 which are complete, properly embedded and have nonzero constant mean curvature. These surfaces are noncompact provided we exclude the case of the round…
Rob Kusner, Rafe Mazzeo, Daniel PollackAug 19, 1994
Learn
Modular operads
Modular operads are a special type of operad: in fact, they bear the same relationship to operads that graphs do to trees (i.e. simply connected graphs). One of the basic examples of a modular operad…
E. Getzler, M. M. KapranovAug 17, 1994
Learn
Witten deformation of Ray-Singer analytic torsion
Consider a flat vector bundle F over compact Riemannian manifold M and let f be a self-indexing Morse function on M. Let g be a smooth Euclidean metric on F. Set gt=exp(-2tf)g and let ρ(t) be the…
Maxim BravermanAug 16, 1994
Learn
Convexity Properties of the Moment Mapping Re-examined
Consider a Hamiltonian action of a compact Lie group on a compact symplectic manifold. A theorem of Kirwan's says that the image of the momentum mapping intersects the positive Weyl chamber in a…
Reyer SjamaarAug 15, 1994
Learn
Bundle gerbes
Just as principal bundles provide a geometric realisation of two-dimensional integral cohomology; gerbes or sheaves of groupoids, provide a geometric realisation of three dimensional…
Michael K. MurrayJul 25, 1994
Learn
A theta function for hyperbolic surfaces with cusps
For a Riemann surface with cusps we define a theta function using the eigenvalues of the Laplacian and the singularities of the scattering determinant. We provide its meromorphic continuation and…
Ulrich Bunke, Martin OlbrichJul 22, 1994
Learn
Theta and zeta functions for locally symmetric spaces of rank one
We study the Selberg zeta and the theta function associated to bundles over even-dimensional locally symmetric spaces of rank one.
Ulrich Bunke, Martin OlbrichJul 22, 1994
Learn
Theta and zeta functions for odd-dimensional locally symmetric spaces of rank one
This paper is a continuation of our work on theta and zeta functions In the previous papers we considered the case of even dimensional rank one symmetric spaces of non-compact type. The present is…
Ulrich Bunke, Martin OlbrichJul 22, 1994
Learn
Préquantification de Certaines Variétés de Poisson
A surjective submersion π: M B carrying a field of simplectic structures on the fibres is symplectic if this Poisson structure is minimal. A symplectic submersion may be interpreted as a family…
F. Alcalde CuestaJul 21, 1994
Learn
Quadratic Equations in Groups from the Global Geometry Viewpoint
I use harmonic maps and minimal surfaces to study quadratic equations in groups.
Alexander ReznikovJul 21, 1994
Learn
Intégration symplectique des variétés de Poisson régulières
A symplectic integration of a Poisson manifold (M,Λ) is a symplectic groupoid (Γ,η) which realizes the given Poisson manifold, i.e. such that the space of units Γ0 with the induced Poisson…
F. Alcalde-Cuesta, G. HectorJul 20, 1994
Learn
Jumps of the eta invariant
We study the eta-invariant, defined by Atiyah-Patodi-Singer a real valued invariant of an oriented odd-dimensional Riemannian manifold equipped with a unitary representation of its fundamental group.…
Michael S. Farber, Jerome P. LevineJul 20, 1994
Learn
Rationality of secondary classes
We prove the Bloch conjecture : c2(E) ∈ H4 (X,(2)) is torsion for holomorphic rank two vector bundles E with an integrable connection over a complex projective variety X. We…
Alexander ReznikovJul 19, 1994
Learn
All regulators of flat bundles are torsion
I prove the Bloch conjecture:all secondary characteristic classes of flat bundles over complex projective varietes are torsion, except the first.
Alexander ReznikovJul 18, 1994
Learn
← PreviousPage 22Next →