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Differential Geometry papers — page 11

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Delocalized L2-Invariants
We define extensions of the L2-analytic invariants of closed manifolds, called delocalized L2-invariants. These delocalized invariants are constructed in terms of a nontrivial conjugacy class…
John LottDec 2, 1996
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On quadratic and nonquadratic forms: Application to nonbijective R2m -> R2m-n transformations
Hurwitz transformations are defined as specific automorphisms of a Cayley-Dickson algebra. These transformations generate quadratic and nonquadratic forms. We investigate here the Hurwitz…
Maurice KiblerDec 2, 1996
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Heat kernel and moduli spaces II
In this paper we continue our study on the moduli spaces of flat G-bundles, for any semi-simple Lie group G, over a Riemann surface by using heat kernel and Reidemeister torsion. Formulas for…
Kefeng LiuDec 1, 1996
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The spherical phylon group and invariants of the Laplace transform
We introduce the spherical phylon group, a subgroup of the group of all formal diffeomorphisms of d that fix the origin. The invariant theory of the spherical phylon group is used to understand…
A. L. Carey, M. G. Eastwood, P. E. Jupp et al.Nov 26, 1996
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Projectively flat Finsler 2-spheres of constant curvature
I classify the Finsler structures on the 2-sphere that have constant Finsler-Gauss curvature and whose geodesics are the great circles. Modulo diffeomorphism, there is a 2-parameter family of such…
Robert L. BryantNov 25, 1996
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A discrete version of the Darboux transform for isothermic surfaces
We study Christoffel and Darboux transforms of discrete isothermic nets in 4-dimensional Euclidean space: definitions and basic properties are derived. Analogies with the smooth case are discussed…
Udo Hertrich-Jeromin, Tim Hoffmann, Ulrich PinkallNov 25, 1996
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Instantons and the information metric
The information metric arises in statistics as a natural inner product on a space of probability distributions. In general this inner product is positive semi-definite but is potentially degenerate.…
David Groisser, Michael K. MurrayNov 25, 1996
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On Young hulls of convex curves in R2n
For a convex curve in an even-dimensional affine space we introduce a series of convex domains (called Young hulls), describe their structure and give a formulas fo the volume of the biggest of these…
V. Sedykh, B. ShapiroNov 18, 1996
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Projectively invariant symbol map and cohomology of vector fields Lie algebras intervening in quantization
We define the unique (up to normalization) symbol map from the space of linear differential operators on Rn to the space of polynomial on fibers functions on T* Rn, equivariant with respect to…
P. B. A. Lecomte, V. Yu. OvsienkoNov 18, 1996
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Some classificational problems in four-dimensional geometry: distributions, almost complex structures and Monge-Ampere equations
In this paper we consider three deeply connected classificational problems on four-dimensional manifolds. First we consider and describe locally regular distributions. Second we give a classification…
Boris S. KruglikovNov 14, 1996
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Nijenhuis tensors and obstructions for pseudoholomorphic mapping constructions
In this paper we present some approaches to classification of almost complex structures and to construction of local or formal pseudoholomorphic mapping from one almost complex manifold to another.…
Boris S. KruglikovNov 14, 1996
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Pseudo-orbits, pseudoleaves and geometric entropy of foliations
We show that the entropy of a finitely generated pseudogroup (resp., of a foliation of a compact Riemannian manifold) can be calculated by suitable counting separated pseudo-orbits (resp.,…
Andrzej Biś, Paweł WalczakNov 14, 1996
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Equivariant Poisson Cohomology and a Spectral Sequence Associated with a Moment Map
We introduce and study a new spectral sequence associated with a Poisson group action on a Poisson manifold and an equivariant momentum mapping. This spectral sequence is a Poisson analog of the…
Viktor L. GinzburgNov 11, 1996
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Dirac structures and Poisson homogeneous spaces
Poisson homogeneous spaces for Poisson groupoids are classfied in terms of Dirac structures for the corresponding Lie bialgebroids. Applications include Drinfel'd's classification in the case…
Z. J. Liu, A. Weinstein, P. XuNov 8, 1996
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Asymptotic properties of energy of harmonic maps on asymptotically hyperbolic manifolds
Asymptotic behavior of energy of a harmonic map defined on an asymptotically hyperbolic manifold is considered. Using the growth of energy, we show that a harmonic map defined on some asymptotically…
Man Chun LeungOct 30, 1996
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Von Neumann spectra near the spectral gap
In this paper we study some new von Neumann spectral invariants associated to the Laplacian acting on L2 differential forms on the universal cover of a closed manifold. These invariants coincide…
Alan L. Carey, Thierry Coulhon, Varghese Mathai et al.Oct 29, 1996
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Twisted L2 invariants of non-simply connected manifolds
We develop the theory of twisted L2-cohomology and twisted spectral invariants for flat Hilbertian bundles over compact manifolds. They can be viewed as functions on the first de Rham cohomology of…
Varghese Mathai, Mikhail ShubinOct 29, 1996
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Twistor Bundles, Einstein Equations and Real Structures
We consider sphere bundles P and P' of totally null planes of maximal dimension and opposite self-duality over a 4-dimensional manifold equipped with a Weyl or Riemannian geometry. The fibre…
P. NurowskiOct 27, 1996
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Von Neumann categories and extended L2 cohomology
In this paper we suggest a new general formalism for studying the invariants of polyhedra and manifolds comming from the theory of von Neumann algebras. First, we examine generality in which one may…
Michael FarberOct 26, 1996
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Equivariant Novikov inequalities
We establish an equivariant generalization of the Novikov inequalities which allow to estimate the topology of the set of critical points of a closed basic invariant form by means of twisted…
M. Braverman, M. FarberOct 26, 1996
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Uniqueness of Positive Solutions of the Conformal Scalar Curvature Equation and Applications to Conformal Transformations
We study uniqueness of positive solutions to the conformal scalar curvature equation on complete Riemannian manifolds with constant negative scalar curvature. We apply the results to show that…
Man Chun LeungOct 25, 1996
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Surfaces of revolution in terms of solitons
The detailed analysis of the generalised Weierstrass representation of surfaces of revolution and their deformations induced by the modified Korteweg--de Vries (mKdV) equations is done. In…
I. A. TaimanovOct 23, 1996
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Integrable geodesic flows of non-holonomic metrics
Normal geodesic flows flows of Carnot-Caratheodory are discussed from the point of view of the theory of Hamiltonian systems. The geodesic flows corresponding to left-invariant metrics and left- and…
I. A. TaimanovOct 23, 1996
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Canonical coordinates and Bergman metrics
In this paper we will discuss local coordinates canonically corresponding to a Kahler metric. We will also discuss and prove the C∞ convergence of Bergman metrics following Tian's result…
Wei-Dong RuanOct 22, 1996
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The Penrose transform on conformally Bochner-Kähler manifolds
We give a generalization of the Penrose transform on Hermitian manifolds with metrics locally conformally equivalent to Bochner-Kähler metrics. We also give an explicit formula for the inverse…
Yoshinari InoueOct 21, 1996
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