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Differential Geometry papers — page 16

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Adiabatic limits of Seiberg-Witten equations on Seifert manifolds
We present a simpler proof for the existence of adiabatic limits. Moreover, we added a new section where the adiabatic process is reversed and in some nondegenerate cases we deform the adiabatic…
Liviu I. NicolaescuJan 18, 1996
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The quantization of constrained systems: from symplectic reduction to Rieffel induction
This is an introduction to the author's recent work on constrained systems. Firstly, a generalization of the Marsden-Weinstein reduction procedure in symplectic geometry is presented - this is a…
N. P. LandsmanJan 18, 1996
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Gluing and moduli for noncompact geometric problems
In this paper we survey a number of recent results concerning the existence and moduli spaces of solutions of various geometric problems on noncompact manifolds. The three problems which we discuss…
Rafe Mazzeo, Daniel PollackJan 18, 1996
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On the Negative Case of the Singular Yamabe Problem
The negative case of the Singular Yamabe Problem concerns the existence and behavior of complete metrics with constant negative scalar curvature on the complement of a closed set in a compact…
David L. FinnJan 16, 1996
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Two nontrivial index theorems in odd dimensions
A recent anomaly computation of Horava and Witten is proved and generalized in the form of two index theorems in odd dimensions. Theorem A is a fixed point formula for orientation-reversing…
Daniel S. FreedJan 15, 1996
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Supersymmetry and the generalized Lichnerowicz formula
A classical result in differential geometry due to Lichnerowicz [8] is concerned with the decomposition of the square of Dirac operators defined by Clifford connections on a Clifford module $…
Thomas AckermannJan 14, 1996
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Cobordism theory and localization formulas for Hamiltonian group actions
We announce the following result and give several applications: A Hamiltonian T-space (for T a torus) with isolated fixed points is cobordant to a disjoint union of weighted projective spaces…
Viktor Ginzburg, Victor Guillemin, Yael KarshonJan 12, 1996
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Hamilton dynamics and H-planar curves
Hamilton flows on Kähler manifold for which all trajectories are H-planar curves (complex analog of geodesics) are considered. These flows are called H-planar. The equation which has to obey the…
D. A. KalininJan 5, 1996
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Some curvature estimates for Riemannian manifolds equipped with foliations of rank 2
Some curvature estimates are derived from geometrical data concerning quasi-conformality properties of some commuting linearly independent vector fields on a compact Riemannian manifold.
Pawel WalczakJan 4, 1996
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Regularisable and minimal orbits for group actions in infinite dimensions
We introduce a class of regularisable infinite dimensional principal fibre bundles which includes fibre bundles arising in gauge field theories like Yang-Mills and string theory and which generalise…
M. Arnaudon, S. PaychaDec 22, 1995
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L2-Cohomology of Geometrically Infinite Hyperbolic 3-Manifolds
We give results on the following questions about a topologically tame hyperbolic 3-manifold M : 1. Does M have nonzero square-integrable harmonic 1-forms? 2. Does zero lie in the spectrum of the…
John LottDec 21, 1995
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Weierstrass representations for harmonic morphisms on Euclidean spaces and spheres
We construct large families of harmonic morphisms which are holomorphic with respect to Hermitian structures by finding heierarchies of Weierstrass-type representations. This enables us to find new…
P. Baird, J. C. WoodDec 20, 1995
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A closed form for unitons
Unitons, i.e.\ harmonic spheres in a unitary group, correspond to uniton bundles, i.e.\ holomorphic bundles over the compactified tangent space to the complex line with certain triviality and…
Christopher Kumar AnandDec 19, 1995
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Harmonic morphisms between almost Hermitian manifolds
We obtain conditions on the Lee form under which a holomorphic map between almost Hermitian manifolds is a harmonic map or morphism. Then we discuss under what conditions (i) the image of a…
S. Gudmundsson, J. C. WoodDec 18, 1995
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Exotic deformation quantization
We consider formal deformations of the Poisson algebra of functions (with singularities) on T*M which are Laurent polynomials of fibers. Tn the case: M=1 (M=S1, R), there exists a…
V. OvsienkoDec 14, 1995
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Energy of embedded surfaces invariant under Moebius tranformations, addendum
In a previous preprint we defined an energy associated to every embedding of a surface into Rn or Sn. This energy is invariant under Moebius tranformations and the "round" sphere is its…
Stefano DemichelisDec 13, 1995
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Quotients by complex conjugation for real complete intersection surfaces
Quotients Y=X/conj by the complex conjugation conj\: X X for complex surfaces X defined over tend to be completely decomposable when they are simply connected, i.e., split into…
S. FinashinDec 11, 1995
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The Space of Harmonic Maps from the 2-sphere to the Complex Projective Plane
We study the topology of the space of harmonic maps from S2 to 2$. We prove that the subspaces consisting of maps of a fixed degree and energy are path connected. By a result of Guest and…
T. Arleigh CrawfordDec 5, 1995
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The Spinor Representation of Minimal Surfaces
The spinor representation is developed and used to investigate minimal surfaces in 3 with embedded planar ends. The moduli spaces of planar-ended minimal spheres and real projective planes…
Rob Kusner, Nick SchmittDec 4, 1995
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On the index of Dirac operators on arithmetic quotients
Using the Arthur-Selberg trace formula we express the index of a Dirac operator on an arithmetic quotient over a totally real field with at least two real embeddings as the integral over the index…
Anton DeitmarDec 1, 1995
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A Lefschetz formula for flows
For the geodesic flow of an odd dimensional hyperbolic manifold we prove a Lefschetz type formula. The local terms are Fuller indices of the closed orbits. The global "Frobenius operator" is…
Anton DeitmarDec 1, 1995
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Connected sum constructions for constant scalar curvature metrics
We give a general procedure for gluing together possibly noncompact manifolds of constant scalar curvature which satisfy an extra nondegeneracy hypothesis. Our aim is to provide a simple paradigm for…
Rafe Mazzeo, Daniel Pollack, Karen UhlenbeckDec 1, 1995
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A remark on positively curved manifolds of dimensions 7 and 13
Totally geodesically embeddings of infinitely many closed 7-manifolds into 13-dimensional positively curved closed Riemannian manifolds are constructed. The problems of computing pinching constants…
I. A. TaimanovNov 30, 1995
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Periodic orbits in magnetic fields and Ricci curvature of Lagrangian systems
We consider a periodic problem for the motion of a charged particle in a magnetic field. Introducing a notion of Ricci curvature for such Lagrangian systems and using the methods of the calculus of…
A. Bahri, I. A. TaimanovNov 30, 1995
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4-Manifolds without Einstein Metrics
It is shown that there are infinitely many compact orientable smooth 4-manifolds which do not admit Einstein metrics, but nevertheless satisfy the strict Hitchin-Thorpe inequality 2 chi > 3 |tau|.…
Claude LeBrunNov 27, 1995
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