On length and product of harmonic forms in Kähler geometry

Motivated by understanding the limiting case of a certain systolic inequality we study compact Riemannian manifolds having all harmonic 1-forms of constant length. We give complete characterizations as far as Kähler and hyperbolic geometries are concerned. In the second part of the paper, we give algebraic and topological obstructions to the existence of a geometrically 2-formal Kähler metric, at the level of the second cohomology group. A strong interaction with almost Kähler geometry is to be noted. In complex dimension 3, we list all the possible values of the second Betti number of a geometrically 2-formal Kähler metric.     

Berichtigung

Ohne Zusammenfassung     

Gas chromatography/tandem mass spectrometry analysis of alkylresorcinols in red blood cells

Erythrocyte alkylresorcinols (5‐alkyl‐1,3‐dihydroxybenzenes) are potential biomarkers of wholegrain wheat and rye intake. However, their high‐throughput quantitative analysis by gas chromatography/mass spectrometry (GC/MS) is hindered by the time‐consuming sample preparation and, more importantly, by interfering compounds that still remain after sample cleanup. In the present work we describe a gas chromatography/tandem mass spectrometry (GC/MS/MS) method for the rapid and reliable quantification of alkylresorcinols in erythrocyte samples. The performance of the GC/MS/MS method is compared with that of GC/MS. The main characteristics of the method are: lower limits of detection: 2–10 µg/L standard solution; lower limits of quantification: 6–30 µg/L standard solution; linearity coefficients: 0.9611–0.9888; linear ranges: 2–20 µg/L in erythrocytes; and intra‐day precisions (n = 6): 4–13% at endogenous analyte levels in non‐spiked erythrocytes. Tandem mass spectrometry showed greatly improved selectivity over single‐stage mass spectrometry in the case of erythrocyte samples, eliminating all interferences detectable in single‐stage MS and enabling simple peak integration for quantification. Moreover, increased selectivity resulted in GC separation speeded up by a factor of two, allowing the duplicate analysis of over 40 samples per day. This GC/MS/MS method is suggested as an improved alternative to GC/MS for the quantification of alkylresorcinols in erythrocytes for assessing wholegrain wheat and rye intake. Copyright © 2008 John Wiley & Sons, Ltd.     

Distorted wave cross sections for electron-impact ionization of the lithium-like ions

Electron-impact ionization cross sections for lithium-like ions have been computed in three variants of the distorted wave approximation. It is found that the inclusion of the electron exchange in the standard form yields the best results, in very good agreement with the experiment and the elaborate calculations of Jakubowicz and Moores.     

Katalytischer Nachweis und Bestimmung von Jodspuren mit Hilfe der 3,3′-Dimethylnaphthidin-Hydrogenperoxid-Reaktion

Zusammenfassung Die 3,3-Dimethylnaphthidin-Wasserstoffperoxid-Redoxreaktion wird von Jodid sehr stark katalysiert. Damit kann man bei Anwesenheit von Ameisensäure Jodid selbst in einer Grenzkonzentration von 0,002g/ml nachweisen bzw bestimmen. Dazu eignet sich die Simultankomparationsmethode. Im Konzentrationsbereich von 0,1 bis 0,01g J^–/5 ml beträgt der relative Fehler 3%. Ag⁺, Hg²⁺ oder Bi³⁺ dürfen nicht anwesend sein; andere störende Ionen können mit ÄDTA bzw. Weinsäure maskiert werden.

---

Catalytic detection and determination of traces of iodine by means of the 3,3-dimethylnaphthidine-hydragen peroxide reaction

Summary The 3,3-dimethylnaphthidine-hydrogen peroxide redox reaction is strongly catalysed by iodide. Therefore, if formic acid is present, iodide itself may be detected or determined in a limiting concentration of 0.002g/ml. The simultaneous comparation method is appropriate here. In the concentration region from 0.1 to 0.01g I^–/5 ml, the relative error is 3%. Ag⁺, Hg²⁺ or Bi³⁺ may not be present. Other interfering ions can be masked with EDTA or tartaric acid.

     

GC analysis of gas in halogen lamps using a new sampling device

Summary A new type of gas sampling device was constructed to improve the analysis of the gas in halogen lamps. Low levels of gases such as O₂, CH₄, C₂H₄ and CH₃Br could be determined by the techniques worked out.     

Some properties of C(X), I

By a result of A.V. Arhangel'skiǐ and E.G. Pytkeiev, the space C(X) of the continuous real functions on X with the topology of pointwise convergence has tightness ω iff Xⁿ is Lindelöf for every n ∈ ω. In this paper we describe other convergence properties of C(X) (e.g. the Fréchet-Urysohn properly) in terms of covering properties of X.In some cases the equivalence between these properties turn out to be dependent on the set theory we choose. Some open problems are also stated.