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Displaying 421 – 440 of 488

Total connections in Lie groupoids

Juraj Virsik (1995)

Archivum Mathematicum

A total connection of order $r$ in a Lie groupoid $Φ$ over $M$ is defined as a first order connections in the $(r - 1)$ -st jet prolongations of $Φ$ . A connection in the groupoid $Φ$ together with a linear connection on its base, ie. in the groupoid $Π (M)$ , give rise to a total connection of order $r$ , which is called simple. It is shown that this simple connection is curvature-free iff the generating connections are. Also, an $r$ -th order total connection in $Φ$ defines a total reduction of the $r$ -th prolongation of $Φ$ to $Φ \times Π (M)$ ....

Total differential equations and the structure of fibre bundles

Efstathios Vassiliou (1986)

Δελτίο της Ελληνικής Μαθηματικής Εταιρίας

Tournaments, Flags, and Harmonic Maps.

S.M. Salamon, F.E. Burstall (1987)

Mathematische Annalen

Toward optimality in discrete Morse theory.

Lewiner, Thomas, Lopes, Hélio, Tavares, Geovan (2003)

Experimental Mathematics

Toward the description in a smooth topos of the dynamically possible motions and deformations of a continuous body

F. William Lawvere (1980)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

Towards a proof of recurrence for the Lorentz process

Nandor Simanyi (1989)

Banach Center Publications

Towards one conjecture on collapsing of the Serre spectral sequence

Markl, Martin (1990)

Proceedings of the Winter School "Geometry and Physics"

[For the entire collection see Zbl 0699.00032.] A fibration $F \to E \to B$ is called totally noncohomologuous to zero (TNCZ) with respect to the coefficient field k, if $H^{*} (E; k) \to H^{*} (F; k)$ is surjective. This is equivalent to saying that $π_{1} (B)$ acts trivially on $H^{*} (F; k)$ and the Serre spectral sequence collapses at $E^{2}$ . S. Halperin conjectured that for $c h a r (k) = 0$ and F a 1-connected rationally elliptic space (i.e., both $H^{*} (F; 𝒬)$ and $π_{*} (F) \otimes 𝒬$ are finite dimensional) such that $H^{*} (F; k)$ vanishes in odd degrees, every fibration $F \to E \to B$ is TNCZ. The author proves this being the case...

T-Periodic Solutions of Time Dependent Hamiltonian Systems with a Potential Vanishing at Infinity.

Klaus Thews (1980/1981)

Manuscripta mathematica

Trace class pseudodifferential calculus with operator valued symbols and unusual index formulas

Grigori Rozenblum (2000/2001)

Séminaire Équations aux dérivées partielles

For several classes of pseudodifferential operators with operator-valued symbol analytic index formulas are found. The common feature is that usual index formulas are not valid for these operators. Applications are given to pseudodifferential operators on singular manifolds.

Trace formula in noncommutative Geometry and the zeros of the Riemann zeta function

Alain Connes (1997)

Journées équations aux dérivées partielles

Trace Formulae for S1 invariant Green's Operators on S2.

Martin Engman (1997)

Manuscripta mathematica

Trace inequalities for Carnot-Carathéodory spaces and applications

Donatella Danielli, Nicola Garofalo, Duy-Minh Nhieu (1998)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Traceless component of the conformal curvature tensor in Kähler manifold

Shoichi Funabashi, Hyang Sook Kim, Y.-M. Kim, Jin Suk Pak (2006)

Czechoslovak Mathematical Journal

We investigate the traceless component of the conformal curvature tensor defined by (2.1) in Kähler manifolds of dimension $\geq 4$ , and show that the traceless component is invariant under concircular change. In particular, we determine Kähler manifolds with vanishing traceless component and improve some theorems (for example, [4, pp. 313–317]) concerning the conformal curvature tensor and the spectrum of the Laplacian acting on $p$ $...$

Traces and quasi-traces on the Boutet de Monvel algebra

Gerd Grubb, Elmar Schrohe (2004) Annales de l’institut Fourier

We construct an analogue of Kontsevich and Vishik’s canonical trace for pseudodifferential boundary value problems in the Boutet de Monvel calculus on compact manifolds with boundary. For an operator

A

in the calculus (of class zero), and an auxiliary operator

B

, formed of the Dirichlet realization of a strongly elliptic second- order differential operator and an elliptic operator on the boundary, we consider the coefficient

C_{0} (A, B)

{(- λ)}^{- N}

in the asymptotic expansion of the resolvent trace

Tr (A {(B - λ)}^{- N})

(with

N

large)...

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