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Differential Geometry papers — page 20

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Analytic subsets of Hilbert spaces
We show that every complete metric space is homeomorphic to the precise locus of zeros of an entire analytic map from a Hilbert space to a Banach space. As a corollary, every complete separable…
Vladimir PestovMar 28, 1995
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Isometric Immersions of Space Forms and Soliton Theory
This paper studies isometric immersions of space forms by means of a hierarchy of finite dimensional integrable systems in Lax form on loop algebras.
Dirk Ferus, Franz PeditMar 24, 1995
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The Ring of Invariants for Smooth Completions of Kac-Moody Lie Algebras
It is proved that the ring of invariants of the standard smooth completion of a Kac-Moody Lie algebra is functionally generated by two elements: the coefficient of the center and the Killing form.
Ian Marshall, Tudor RatiuMar 23, 1995
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Homotopy and Homology Vanishing Theorems and the Stability of Stochastic Flows
We relate stability properties (i.e. moment exponents) of a stochastic dynamical system on a compact manifold M to the homotopy and integral homology groups of M. In the special case of gradient…
K. D. Elworthy, Steven RosenbergMar 22, 1995
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Characteristic Classes in Symplectic Topology
From the cohomological point of view the symplectomorphism group Sympl (M) of a symplectic manifold is `` tamer'' than the diffeomorphism group. The existence of invariant polynomials in…
Alexander G. ReznikovMar 16, 1995
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Witten-Helffer-Sjostrand Theory for a Generalized Morse Functions
In this paper, we extend the Witten-Helffer-Sjöstrand theory from Morse functions to generalized Morse functions. In this case, the spectrum of the Witten deformed Laplacian Δ(t), for large t, can…
Hon-kit WaiMar 14, 1995
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Secondary analytic indices
We define analytic indices which involve the eta form and the analytic torsion form. We show that these indices are independent of the geometric choices made in their definitions, and hence are…
John LottMar 13, 1995
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Invariant operators on manifolds with almost Hermitian symmetric structures, II. Normal Cartan connections
In the first part of this series of papers we developed the invariant differentiation with respect to a Cartan connection, we described this procedure in the terms of the underlying principal…
Andreas Cap, Jan Slovak, Vladimir SoucekMar 9, 1995
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Invariant operators on manifolds with almost Hermitian symmetric structures, I. Invariant differentiation
This is the first part of a series of papers. The whole series aims to develop the tools for the study of all almost Hermitian symmetric structures in a unified way. In particular, methods for the…
Andreas Cap, Jan Slovak, Vladimir SoucekMar 9, 1995
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Mayer-Vietoris Formula for Determinants of Elliptic Operators of Laplace-Beltrami Type (after Burghelea, Friedlander and Kappeler)
The purpose of this note is to provide a short cut presentation of a Mayer-Vietoris formula due to Burghelea-Friedlander-Kappeler for the regularized determinant in the case of elliptic operators of…
Yoonweon LeeMar 8, 1995
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Non-standard connections in classical mechanics
In the jet-bundle description of first-order classical field theories there are some elements, such as the lagrangian energy and the construction of the hamiltonian formalism, which require the prior…
A. Echeverría-Enríquez, M. C. Muñoz-Lecanda, N. Román-RoyMar 2, 1995
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On the number of geodesic segments connecting two points on manifolds of non-positive curvature
In this paper we show that on a complete Riemannian manifold of negative curvature and dimension n>1 every two points which realize a local maximum for the distance function are connected by at…
Paul HorjaFeb 28, 1995
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A Groenewold-Van Hove Theorem for S2
We prove that there does not exist a nontrivial quantization of the Poisson algebra of the symplectic manifold S2 which is irreducible on the subalgebra generated by the components S1,S2,S3 of…
Mark J. Gotay, Hendrik Grundling, C. A. HurstFeb 23, 1995
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Coherent states and geodesics: cut locus and conjugate locus
The intimate relationship between coherent states and geodesics is pointed out. For homogenous manifolds on which the exponential from the Lie algebra to the Lie group equals the geodesic…
Stefan BerceanuFeb 22, 1995
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Twistor theory, complex homogeneous manifolds and G-structures
It is shown that any irreducible analytic 1-flat G-structure as well as any analytic torsion-free affine connection with irreducibly acting holonomy group can, in principle, be contstructed by…
Sergey A. MerkulovFeb 16, 1995
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Cohomology of Kaehler manifolds with c1=0
A linear constraint is given on the Betti numbers of a compact hyper-Kaehler manifold, using an index formula for c1cn-1 on an almost complex manifold. The topology of some other manifolds with…
S. M. SalamonFeb 14, 1995
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Torus bundles and the group cohomology of GL(N,Z)
We prove the vanishing of a certain characteristic class of flat vector bundles when the structure groups of the bundles are contained in GL(N,Z). We do so by explicitly writing the characteristic…
Jean-Michel Bismut, John LottFeb 10, 1995
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K\"ahlerian Killing Spinors, Complex Contact Structures and Twistor Spaces
We collect our recent results ([5] and [8]) and we get the equivalence of the three notions of the title under some conditions. We then use this equivalence in order to prove some consequences about…
A. Moroianu, U. SemmelmannFeb 5, 1995
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The inverse Penrose transform on Riemannian twistor spaces
With respect to the Dirac operator and the conformally invariant Laplacian, an explicit description of the inverse Penrose transform on Riemannian twistor spaces is given. A Dolbeault representative…
Yoshinari InoueFeb 5, 1995
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Analytic and Reidemeister torsion for representations in finite type Hilbert modules
For a closed Riemannian manifold we extend the definition of analytic and Reidemeister torsion associated to an orthogonal representation of fundamental group on a Hilbert module of finite type over…
D. Burghelea, L. Friedlander, T. Kappeler et al.Feb 3, 1995
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Simpson's Theory and Superrigidity of Complex Hyperbolic Lattices
We attack a conjecture of J. Rogawski: any cocompact lattice in S U (2, 1) for which the ball quotient X = B2 / Γ satisfies b1 (X) = 0 and H1, 1 (X) H2 (X, ) ≈ is…
Alexander ReznikovJan 30, 1995
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Spaces of Geodesics: Products, Coverings, Connectedness
We continue our study of the space of geodesics of a manifold with linear connection. We obtain sufficient conditions for a product to have a space of geodesics which is a manifold. We investigate…
J. K. Beem, R. J. Low, P. E. ParkerJan 24, 1995
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The Twistor correspondence of the Dolbeault complex over n
With respect to the Dolbeault complex over the flat manifold n, an explicit description of the inverse correspondence of the twistor correspondence is given.
Yoshinari InoueJan 20, 1995
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A Simple Geometric Representative for μ of a Point
For SU(2) (or SO(3)) Donaldson theory on a 4-manifold X, we construct a simple geometric representative for μ of a point. Let p be a generic point in X. Then the set $\ [A] | FA-(p)…
Lorenzo SadunJan 12, 1995
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Products and relations in symplectic Floer homology
We give a construction of a version of the Gromov-Witten classes, Q: H*(J) -> HF*(M) otimes ... otimes HF*(M), within the context of symplectic Floer (co)homology. In particular, this gives a…
Marty Betz, Johan RadeJan 8, 1995
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