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Differential Geometry papers — page 21

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Exotic Holonomy on Moduli Spaces of Rational Curves
Bryant Br proved the existence of torsion free connections with exotic holonomy, i.e. with holonomy that does not occur on the classical list of Berger Ber. These connections occur on…
Quo-Shin Chi, Lorenz J SchwachhöferJan 2, 1995
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Meromorphic Potentials and Smooth CMC Surfaces
This work is based on the approach developed by J.~Dorfmeister, F.~Pedit and H.~Wu [GANG and KITCS preprint, Report KITCS94-4-1] to construct maps Φ:D→ R3, D being the unit disk in…
J. Dorfmeister, G. HaakDec 31, 1994
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On the Scalar Curvature of Complex Surfaces
Let (M,J) be a minimal compact complex surface of Kaehler type. It is shown that the smooth 4-manifold M admits a Riemannian metric of positive scalar curvature iff (M,J) admits a KAEHLER metric of…
Claude LeBrunDec 27, 1994
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Symplectic toric orbifolds
A symplectic toric orbifold is a compact connected orbifold M, a symplectic form ω on M, and an effective Hamiltonian action of a torus T on M, where the dimension of T is half the…
Eugene Lerman, Susan TolmanDec 23, 1994
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Blow-up formulas for (-2)-spheres
Let X be a simply connected 4-manifold containing a (-1)-sphere e. Fintushel and Stern prove that Dc((te)) = Dc(B(t)) on e if c· e is even, Dc((te)) =…
Rogier BrusseeDec 23, 1994
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Symplectic and Poisson structures of certain moduli spaces. II. Projective representations of cocompact discrete planar groups
Let G be a Lie group with a biinvariant metric, not necessarily positive definite. It is shown that a certain construction carried out in an earlier paper for the fundamental group of a closed…
Johannes HuebschmannDec 21, 1994
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Differential Geometry of Composite Fibred Manifolds
In classical field theory, the composite fibred manifolds Y -> Z -> X provides the adequate mathematical formulation of gauge models with broken symmetries, e.g., the gauge gravitation theory. This…
G. SardanashvilyDec 17, 1994
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Nowhere Holomorphic Mappings
Retracted temporarily to fix some erratic things.
Yuliy BaryshnikovDec 15, 1994
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Integral geometry of plane curves and knot invariants
We study the integral expression of a knot invariant obtained as the second coefficient in the perturbative expansion of Witten's Chern-Simons path integral associated with a knot. One of the…
Xiao-Song Lin, Zhenghan WangNov 30, 1994
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Smoothing Riemannian Metrics with Ricci Curvature Bounds
We prove that Riemannian metrics with an absolute Ricci curvature bound and a conjugate radius bound can be smoothed to having a sectional curvature bound. Using this we derive a number of results…
Xianzhe Dai, Guofang Wei, Rugang YeNov 30, 1994
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Witten deformation of the analytic torsion and the spectral sequence of a filtration
Let F be a flat vector bundle over a compact Riemannian manifold M and let f be a Morse function. Let g be a smooth Euclidean metric on F, let gt=e-2tfg and let ρ(t) be the Ray-Singer analytic…
Maxim BravermanNov 27, 1994
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Pseudoconvex and Disprisoning Homogeneous Sprays
The pseudoconvex and disprisoning conditions for geodesics of linear connections are extended to the solution curves of general homogeneous sprays. The main result is that pseudoconvexity and…
L. Del Riego, P. E. ParkerNov 26, 1994
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The number of functionally independent invariants of a pseudo--Riemannian metric
The number of functionally independent scalar invariants of arbitrary order of a generic pseudo--Riemannian metric on an n--dimensional manifold is determined.
J Muñoz Masqué, Antonio ValdésNov 23, 1994
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Curved Flats and Isothermic Surfaces
We show how pairs of isothermic surfaces are given by curved flats in a pseudo Riemannian symmetric space and vice versa. Calapso's fourth order partial differential equation is derived and,…
F. Burstall, U. Hertrich-Jeromin, F. Pedit et al.Nov 23, 1994
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Poisson structures on certain moduli spaces for bundles on a surface
Let Σ be a closed surface, G a compact Lie group, with Lie algebra g, and ξ P Σ a principal G-bundle. In earlier work we have shown that the moduli space N(ξ) of central Yang-…
Johannes HuebschmannNov 23, 1994
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Smooth structures on certain moduli spaces for bundles on a surface
Let Σ be a closed surface, G a compact Lie group, with Lie algebra g, ξ P Σ a principal G-bundle, let N(ξ) denote the moduli space of central Yang-Mills connections on ξ, for…
Johannes HuebschmannNov 23, 1994
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The singularities of Yang-Mills connections for bundles on a surface. II. The stratification
Let Σ be a closed surface, G a compact Lie group, not necessarily connected, with Lie algebra g, endowed with an adjoint action invariant scalar product, let ξ P Σ be a principal…
Johannes HuebschmannNov 22, 1994
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The singularities of Yang-Mills connections for bundles on a surface. I. The local model
Let Σ be a closed surface, G a compact Lie group, not necessarily connected, with Lie algebra g, endowed with an adjoint action invariant scalar product, let ξ P Σ be a principal…
Johannes HuebschmannNov 22, 1994
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Einstein Metrics and Mostow Rigidity
Using the new diffeomorphism invariants of Seiberg and Witten, a uniqueness theorem is proved for Einstein metrics on compact quotients of irreducible 4-dimensional symmetric spaces of non-compact…
Claude LeBrunNov 21, 1994
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Γ-Cohomology and the Selberg Zeta Function
We propose a new method for studying n- and Γ-cohomology of globalizations of Harish-Chandra modules, where G=KAN is a rank one semisimple Lie group, Γ is a discrete subgroup of G and…
Ulrich Bunke, Martin OlbrichNov 18, 1994
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Ricci Curvature and Betti Numbers
We derive a uniform bound for the total betti number of a closed manifold in terms of a Ricci curvature lower bound, a conjugate radius lower bound and a diameter upper bound. The result is based on…
Guofang WeiNov 7, 1994
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Yamabe Spectra
We study the set of volumes of constant scalar curvature one metrics on an atoroidal three-manifold.The infinum of this set is believed to be attained at a hyperbolic metric. We prove that the…
Alexander ReznikovNov 7, 1994
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Self-Dual Manifolds with Positive Ricci Curvature
We prove that the connected sums CP2 # CP2 and CP2 # CP2 # CP2 admit self-dual metrics with positive Ricci curvature. Moreover, every self-dual metric of positive scalar curvature on CP2 # CP2…
Claude LeBrun, Shin Nayatani, Takashi NittaNov 4, 1994
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The Frölicher-Nijenhuis bracket for derivation based non commutative differential forms
In commutative differential geometry the Frölicher-Nijenhuis bracket computes all kinds of curvatures and obstructions to integrability. In !3 the Frölicher-Nijenhuis bracket was developped for…
Michel Dubois-Violette, Peter W. MichorOct 19, 1994
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Geometry of Cyclic Quotients, I: Knotted Totally Geodesic Submanifolds in Positively Curved Spheres
We prove that there exists a metric of positive curvature in a three-sphere which admits a given torus knot as a closed geodesic.We also sketch a construction of a metric in a four sphere, very…
Alexander ReznikovOct 16, 1994
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