513 research outputs found
An Introduction to Harmonic Manifolds and the Lichnerowicz Conjecture
Full text linkThe title is self-explanatory. We aim to give an easy to read and
self-contained introduction to the field of harmonic manifolds. Only basic
knowledge of Riemannian geometry is required. After we gave the definition of
harmonicity and derived some properties, we concentrate on Z. I. Szab\'o's
proof of Lichnerowicz's conjecture in the class of compact simply connected
manifolds
Rapport fait au nom de la Commission de la comptabilité et de l'administration de la Communauté et de l'Assemblée Commune sur le Rapport du Commissaire aux comptes de la Communauté européenne du charbon et de l'acier relatif au deuxième exercice financier (1er juillet 1953-30 juin 1954). Exercice 1954-1955, document n 17, mai 1955. = Report on behalf of the Committee for Accounting and Administration of the Community and of the Common Assembly on the Report of the External Auditor of the European Coal and Steel Community concerning the second fiscal year (July 1 1953-30 June 1954). Year 1954-1955, Document No 17, May 1955
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Get PDFAbsence of structural correlations of magnetic defects in heavy fermion LiV2O4
Full text linkMagnetic defects have pronounced effects on the magnetic properties of the
face-centered cubic compound LiV2O4. The magnetic defects arise from crystal
defects present within the normal spinel structure. High-energy x-ray
diffraction studies were performed on LiV2O4 single crystals to search for
superstructure peaks or any other evidence of periodicity in the arrangement of
the crystal defects present in the lattice. Entire reciprocal lattice planes
are mapped out with help of synchrotron radiation. No noticeable differences in
the x-ray diffraction data between a crystal with high magnetic defect
concentration and a crystal with low magnetic defect concentration have been
found. This indicates the absence of any long-range periodicity or short-range
correlations in the arrangements of the crystal/magnetic defects.Comment: 6 pages, 4 figure
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