Sasakian-Einstein Structures on 9#(S² × S³) (2008)
Theta S, Charles P. Boyer, Krzysztof Galicki, Michael Nakamaye
We show that #9(S ) admits an 8-dimensional complex family of inequivalent non-regular Sasakian-Einstein structures. These are the first known Einstein metrics on this 5-manifold. In particular, the...
Velocity spectra of a flow can be made by ultrasound Doppler measurements. Using only part of the information in these spectra, it is possible to reconstruct the solenoid part and the support of the...
J.A. Hillman, C. Kearton, Theta S
We show that the isotopy type of a 1-simple n-knot K is determined by the Postnikov (n \Gamma 1)-stage of its exterior X(K), together with the homotopy class of the longitude K 2 n (X(K)). Moreover...
Topology of energy surfaces and existence of transversal Poincaré sections (2007)
A. Bolsinov, H.R. Dullin, A. Wittek, Theta S
. Two questions on the topology of compact energy surfaces of natural two degrees of freedom Hamiltonian systems in a magnetic field are discussed. We show that the topology of this 3-manifold (if it...
On the Connectivity of Cobordisms and Half-Projective TQFT's (2007)
Thomas Kerler February, Thomas Kerler, Theta S
: We consider a generalization of the axioms of a TQFT, so called half-projective TQFT's, where we inserted an anomaly, x ¯ 0 , in the composition law. Here ¯ 0 is a coboundary (in a group...
On A New Family Of Homogeneous Einstein Manifolds (2007)
Rodi On Ov, E. D. Rodionov, Theta S
. We show that there exists exactly one homothety class of invariant Einstein metrics on each space [SU(2)] S+1 =T S defined below. In this paper we study a special family of homogeneous spaces M...
n\Gamma1 . We will study the braid group corresponding to the Coxeter group with the type B n Dynkin diagram (or the braid group of type B n for simplicity). Denote the generators of the braid group...
An Euler-type version of the local Steiner formula for convex bodies (2007)
Stefan Glasauer, Let S, Theta S, Theta S
this paper. In fact, Hann [4] asked for a simpler proof of these results ([4], Problem 2 on p. 900). We remark that our formula can be considered as a Euclidean analogue of a spherical result proved...
Differentiable Structures With Zero Entropy On Simply Connected 4-Manifolds (2007)
. We show that a compact 4-dimensional simply connected topological manifold M admits a differentiable structure with a C 1 Riemannian metric whose geodesic flow has zero topological entropy if and...
2n denote the subposet obtained by selecting even ranks in the partition lattice \Pi 2n: We show that the homology of \Pi e 2n has dimension (2n)! 2 2n\Gamma1 E 2n\Gamma1; where E 2n\Gamma1 is the...
Sasakian-Einstein structures on 9#(S 2 (2007)
Theta S, Charles P. Boyer, Krzysztof Galicki, Michael Nakamaye
Abstract: We show that #9(S
Classification of 5-dimensional space–time with parallel 3-branes (2007)
Tianjun Li, Theta R, Theta R, Theta S
If the fifth dimension is one-dimensional connected manifold, up to diffeomorphic, the only possible space-time will be M 4
Wavelet Representation of Diffraction Pole Figures (2007)
Helmut Schaeben, Jürgen Prestin, Daniel Potts, Theta S
to gradually adapt automatically to a local refinement of the spatial resolution. REPRESENTATIONS OF POLE DENSITY FUNCTIONS A diffraction pole figure is mathematically represented as the projection...
On The Homflypt Skein Module Of ... (2000)
Theta S, Patrick M. Gilmer, Jianyuan Zhong, Theta D
. Let k be a subring of the field of rational functions in x; v; s which contains x \Sigma1 ; v \Sigma1 ; s \Sigma1 . If M is an oriented 3-manifold, let S(M) denote the Homflypt skein module of M...
Finite Order Invariants of Legendrian, Transverse, and Framed Knots in Contact 3-Manifolds (1999)
Vladimir Tchernov, Theta S, Theta S
We show that for a big class of contact manifolds the groups of order n invariants (with values in an arbitrary Abelian group) of Legendrian, of transverse, and of framed knots are canonically...
Exact T-duality between Calorons and Taub-NUT spaces (1998)
Thomas C. Kraan, Pierre Van Baal, Theta S
: We determine all SU(2) caloron solutions with topological charge one and arbitrary Polyakov loop at spatial infinity (with trace 2 cos(2!)), using the Nahm duality transformation and ADHM. By...
Obstacle Distances and Visibility for Car-Like Robots Moving Forward (1998)
J. P. Laumond, C. Nissoux, M. Vendittelli, Theta S
This paper deals with distance computation between a car-like robot moving only forward and polygonal obstacles. We propose efficient geometric algorithms to compute the shortest paths to obstacles....
Periodic Instantons with non-trivial Holonomy (1998)
Thomas C. Kraan, Pierre Van Baal, Theta S
: We present the detailed derivation of the charge one periodic instantons - or calorons - with non-trivial holonomy for SU(2). We use a suitable combination of the Nahm transformation and ADHM...
Graph manifolds and taut foliations (1997)
Mark Brittenham, Ramin Naimi, Rachel Roberts, Theta S
We examine the existence of foliations without Reeb components, taut foliations, and foliations with no S 1
Betti Number Estimates for Nilpotent Groups (1997)
Michael Freedman, Richard Hain, Peter Teichner, Theta S
. We prove an extension of the following result of Lubotzky and Magid on the rational cohomology of a nilpotent group G: if b1 ! 1 and G\Omega Q 6= 0; Q; Q 2 then b2 ? b 2 1 =4. Here the b i are the...
The Homology of Partitions With an Even Number of Blocks (1996)
. Let \Pi e 2n denote the subposet obtained by selecting even ranks in the partition lattice \Pi 2n : We show that the homology of \Pi e 2n has dimension (2n)! 2 2n\Gamma1 E 2n\Gamma1 ; where E...
Einstein-Weyl Deformations and Submanifolds (1995)
Henrik Pedersen, Yat Sun Poon, Andrew Swann, Theta S
. Motivated by new explicit positive Ricci curvature metrics on the foursphere which are also Einstein-Weyl, we show that the dimension of the EinsteinWeyl moduli near certain Einstein metrics is...
The Shortest Path Synthesis for Non-holonomic Robots Moving Forwards (1993)
Xuân-Nam Bui, Philippe Souères, Jean-daniel Boissonnat, Jean-daniel Boissonnat, ...
: We calculate the partition of the configuration space IR 2 \Theta S 1 of a car-like robot, only moving forwards, with respect to the type of the length optimal paths. This kind of robot is subject...
On A New Family Of Homogeneous Einstein Manifolds (1992)
. We show that there exists exactly one homothety class of invariant Einstein metrics on each space [SU(2)] S+1 =T S defined below. In this paper we study a special family of homogeneous spaces M...
Continuous Families Of Isospectral Metrics On Simply Connected Manifolds
Dorothee Schueth, Theta S, Theta S
. We construct continuous families of Riemannian metrics on certain simply connected manifolds with the property that the resulting Riemannian manifolds are pairwise isospectral for the Laplace...