Let (M, I, J,K) be a compact hypercomplex manifold admitting a special kind of quaternionic-Hermitian metric called an HKT-metric. Assume that the canonical bundle of (M, I) is trivial as a holomorphic line bundle. We show that the holonomy of canonical torsion-free connection called Obata connection onM is contained in SL(n,H). In Appendix we apply these arguments to compact nilmanifolds which...

This thesis is concerned with a so-called speedup technique for Dijkstra’s algorithm: Contraction hierarchies. We present a model of contraction hierachies sufficiently sophisticated to capture real-world applications but yet concise enough to lend itself to theoretical investigations. This model reveals an interrelation between contraction hierarchies and filled graphs that directly relates th...

It is well-known that electrical field stimulation (EFS)-induced contraction is mediated by a cholinergic mechanism and other neurotransmitters. NO, ATP, calcitonin gene-related peptide (CGRP), and substance P are released by EFS. To investigate the purinergic mechanism involved in the EFS-induced contraction, purinegic receptors antagonists were used. Suramine, a non-selective P2 receptor anta...

We prove that, given a nontrivial Boolean algebra B, a compact convex set S and a groupG, there is an orthomodular latticeL with the center isomorphic toB, the automorphism group isomorphic to G, and the state space affinely homeomorphic to S. Moreover, given an orthomodular lattice J admitting at least one state, L can be chosen such that J is its subalgebra. Mathematics Subject Classification...

For a p-group G admitting an automorphism φ of order pn with exactly pm fixed points such that φp n−1 has exactly pk fixed points, we prove that G has a fully-invariant subgroup of m-bounded nilpotency class with (p, n,m, k)-bounded index in G. We also establish its analogue for Lie p-rings. The proofs make use of the theory of commutator-type operators.

Let $C$ be a smooth complex projective curve and $G$ connected reductive group. We prove that if the center $Z(G)$ of is disconnected, then Kirwan map $H^*\big(\operatorname{Bun}(G,C),\mathbb{Q}\big)\rightarrow H^*\big(\mathcal{M}_{\operatorname{Higgs}}^{\operatorname{ss}},\mathbb{Q}\big)$ from cohomology moduli stack $G$-bundles to semistable $G$-Higgs bundles, fails surjective: more precisely...

Histamine has been shown to have both positive inotropic and chronotropic effects. To evaluate the chronotropic effects, spontaneously contracting monolayers of cultured rat myocardial cells were treated with histamine, 10(-7) M-10(-4) M. This resulted in a dose-dependent increase in contraction frequency reaching a maximum in 10(-5) M histamine. Contraction frequency (mean +/- SEM) increased f...

In this paper we study the number of ergodic measures maximal entropy for partially hyperbolic diffeomorphisms defined on 3-torus with compact center leaves. Assuming existence a periodic leaf Morse–Smale dynamics prove sharp upper bound in terms sources and sinks dynamics. A well-known class examples which our results apply are so called Kan-type admitting physical intermingled basins.

Families of maps on the lattice of all antichains of a finite bounded poset that extend the blocker, deletion, and contraction maps on clutters are considered. Influence of the parameters of the maps is investigated. Order-theoretic extensions of some principal relations for the set-theoretic blocker, deletion, and contraction maps on clutters are presented. 1. Introduction and preliminary. Let...

We present a center-referenced basis for discrete representation of stereo correspondence that includes new occlusion nodes. This basis improves the inclusion of constraints and the parallelism of the final algorithm. Disparity estirnation is formulated in a MAP context and natural constraints are incorporated, resulting in an optimal path problem in a sparsely connected trellis. Like other DP ...