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Differential Geometry papers — page 14

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Symplectic packing in dimension 4
We discuss closed symplectic 4-manifolds which admit full symplectic packings by N equal balls for large N's. We give a homological criterion for recognizing such manifolds. As a corollary we…
Paul BiranJun 6, 1996
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Yamabe Constants and the Perturbed Seiberg-Witten Equations
Among all conformal classes of Riemannian metrics on CP2, that of the Fubini-Study metric is shown to have the largest Yamabe constant. The proof, which involves perturbations of the…
Claude LeBrunMay 29, 1996
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Rotationally Symmetric F-harmonic Maps Equations
We study a second order differential equation corresponding to rotationally symmetric F-harmonic maps between certain noncompact manifolds. We show unique continuation and Liouville's type…
Man Chun LeungMay 27, 1996
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Structure "Hyper-Lie Poisson"
The main purpose of the paper is to study hyperkahler structures from the viewpoint of symplectic geometry. We introduce a notion of hypersymplectic structures which encompasses that of hyperkahler…
Ping XuMay 19, 1996
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Theory of connections on graded principal bundles
The geometry of graded principal bundles is discussed in the framework of graded manifold theory of Kostant-Berezin-Leites. In particular, we prove that a graded principal bundle is globally trivial…
T. StavracouMay 16, 1996
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A canonical way to deform a Lagrangian submanifold
We derive some important geometric identities for Lagrangian submanifolds immersed in a K\"ahler manifold and prove that there exists a canonical way to deform a Lagrangian submanifold by a parabolic…
Knut SmoczykMay 14, 1996
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Constant scalar curvature metrics with isolated singularities
We extend the results and methods of MP to prove the existence of constant positive scalar curvature metrics g which are complete and conformal to the standard metric on SN Λ,…
Rafe Mazzeo, Frank PacardMay 14, 1996
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Flux homomorphism on symplectic groupoids
An anologue of the Calabi invariant for Poisson manifolds is considered. For any Poisson manifold P, the Poisson bracket on C∞(P) extends to a Lie bracket on the space Ω1(P) of all…
Ping XuMay 5, 1996
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The Fermi Flow and its Application to Geometry
We introduce the notion of Fermi flow for hypersurfaces in Riemannian manifolds. It turns out that this is a powerful tool to study the geometry of distance surfaces about a given initial…
Knut SmoczykMay 2, 1996
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Obstruction Results in Quantization Theory
We define the quantization structures for Poisson algebras necessary to generalise Groenewold and Van Hove's result that there is no consistent quantization for the Poisson algebra of Euclidean…
Mark J. Gotay, Hendrik B. Grundling, Gijs M. TuynmanMay 2, 1996
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Torus actions on compact quotients
We consider the action of a noncompact torus H on the compact quotient G/L, where G is a Lie group containing H and L is a uniform lattice in G. Using harmonic analysis on G we prove a formula…
Anton DeitmarApr 30, 1996
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Smooth structures on collarable ends of 4-manifolds
We use Furuta's result, usually referred to as ``10/8-conjecture'', to show that for any compact 3-manifold M the open manifold M× has infinitely many different smooth…
Zarko Bizaca, John EtnyreApr 26, 1996
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Rotationally Symmetric p-harmonic maps
We study a second order ordinary differential equation corresponding to rotationally symmetric p-harmonic maps. We show unique continuation and Liouville's type theorems for positive solutions.…
Man Chun LeungApr 23, 1996
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The Zero-in-the-Spectrum Question
This is an expository article on the question of whether zero lies in the spectrum of the Laplace-Beltrami operator acting on differential forms on a manifold.
John LottApr 22, 1996
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Incidence coefficients in the Novikov complex for Morse forms: rationality and exponential growth properties
In this paper we continue the study of generic properties of the Novikov complex, began in the work "The incidence coefficients in the Novikov complex are generically rational functions" (…
A. PajitnovApr 20, 1996
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Sharp Bounds for Eigenvalues and Multiplicities on Surfaces of Revolution
We find sharp upper bounds for the multiplicities and the numerical values of all the distinct eigenvalues on a surface of revolution diffeomorphic to the sphere.
Martin EngmanApr 12, 1996
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Self-duality in Dimensions 2n>4: Equivalence of Various Definitions, and an Upper Bound for p2
We show that the self-duality defined in [Trautman, Int.J.Theor.Phys., 16,561 (1977)] is equivalent to strong self-duality defined in [Bilge, Dereli and Kocak, Lett.Math.Phys., 36,…
Ayse Humeyra BilgeApr 11, 1996
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Conformal Deformation of Warped Products and Scalar Curvature Functions on Open Manifolds
We discuss conformal deformation and warped products on some open manifolds. We discuss how these can be applied to construct Riemannian metrics with specific scalar curvature functions.
Man Chun LeungApr 7, 1996
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The hyperbolic moduli space of flat connections and the isomorphism of symplectic multiplicity spaces
Let G be a simple complex Lie group, g be its Lie algebra, K be a maximal compact form of G and k be a Lie algebra of K. We denote by X→ X the…
Anton Yu. Alekseev, Anton Z. MalkinMar 29, 1996
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Donaldson Wall-Crossing Invariants Via Topology
The wall-crossing formula for Donaldson invariants of smooth, simply connected four manifolds with b+=1 is shown to be a topological invariant of the manifold for reducible connections with two or…
Thomas LenessMar 26, 1996
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Non-abelian convexity by symplectic cuts
In this paper we extend the results of Kirwan et alii on convexity properties of the moment map for Hamiltonian group actions, and on the connectedness of the fibers of the moment map, to the case of…
Eugene Lerman, Eckhard Meinrenken, Sue Tolman et al.Mar 26, 1996
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A Pinching constant for harmonic manifolds
In this note we shall show that the sectional curvature of a harmonic manifold is bounded on both sides. In fact we shall give a pinching constant for all harmonic manifolds. We shall use the…
K. Ramachandran, Akhil RanjanMar 25, 1996
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Harmonic manifolds with some specific volume densities
We show that noncompact simply connected harmonic manifolds with volume density Θp(r) = n-1 r is isometric to the real hyperbolic space and noncompact simply connected Kähler harmonic…
K. Ramachandran, Akhil RanjanMar 24, 1996
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Finite dimensional imbeddings of harmonic spaces
In a noncompact harmonic manifold M we establish finite dimensionality of the eigenspaces Vλ generated by radial eigenfunctions of the form r + c. As a consequence, for such harmonic…
K. Ramachandran, Akhil RanjanMar 23, 1996
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Minimal Geodesics and Nilpotent Fundamental Groups
Hedlund constructed Riemannian metrics on n-tori, n ≥ 3 for which minimal geodesics are very rare. In this paper we construct similar examples for every nilpotent fundamental group. These…
Bernd AmmannMar 20, 1996
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