1 40 1 https://archives.ihes.fr/files/original/088d00f01a98f65b127cea88e8f0d551.pdf 07f59affca092bfcd3f2c06a38700bd7 Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Michel, Louis Description An account of the resource Les prépublications de Louis Michel sont des travaux scientifiques datés entre 1964 et 1999 et témoignent de l’interdisciplinarité et des collaborations entre professeurs et chercheurs invités. Source A related resource from which the described resource is derived P/**/** Language A language of the resource EN, FR Coverage The spatial or temporal topic of the resource, the spatial applicability of the resource, or the jurisdiction under which the resource is relevant 1964-1999 Provenance A statement of any changes in ownership and custody of the resource since its creation that are significant for its authenticity, integrity, and interpretation. The statement may include a description of any changes successive custodians made to the resource. IHES Rights Holder A person or organization owning or managing rights over the resource. IHES Text A resource consisting primarily of words for reading (letters, dissertatations, articles, archives). Note that facsimiles or images of texts are still of the genre Text Local URL The URL of the local directory containing all assets of the website https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/MICHEL/1990-1999/P_92_16/P_92_16.pdf OCR Oui Location The location of the interview Bures-sur-Yvette Persons Mentioned BRILLOUIN MORSE VANHOVE VAN HOVE BRAVAIS MONTROLL SMOLLETT HIGGS RYDBERG HESSE BETTI POINCARE EULER RIEMANN EUCLIDE GRAMM JORDAN HERMANN MAUGUIN FEDOROV SCHONFLIES ABEL Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Identifier An unambiguous reference to the resource within a given context P_92_16.pdf Format The file format, physical medium, or dimensions of the resource A4 13 f. Title A name given to the resource Extrema of P-invariant functions on the Brillouin zone Creator An entity primarily responsible for making the resource MICHEL Description An account of the resource Exapnded version of a lecture fiven at Naples, on October 25, 1991 at a Colloquium in memory of Léon Vanhove Abstract : This paper studies the number of extrema (and their positions) of a countinuous Morse function on the Brillouin zone, when it is invariant by the point group symmetry of the crystal. Forty years ago, Vanhove had shown the importance of this problem in physics, but he could use only the crystal translational symmetry. In that case Morse theory predicts at least eight extrema. With the added use of general symmetry arguments we show that this number is larger for six of the 14 classes of Bravais lattices ; moreover it is possible to give the position of the extrema (and their nature) for 30 of the 73 arithmetic classes.This paper is written for a larger audience than that of solid state physicists ; it also defines carefully the necessary crystallographic concepts which are generally poorly understood in the solid state literature. Subject The topic of the resource ZONES DE BRILLOUIN THEORIE DE MORSE MAXIMUMS ET MINIMUMS CRISTALLOGRAPHIE MATHEMATIQUES SYMETRIE PHYSIQUE Date A point or period of time associated with an event in the lifecycle of the resource 04/1992 Type The nature or genre of the resource TEXTE PREPUBLICATION Source A related resource from which the described resource is derived P/92/16 Publisher An entity responsible for making the resource available IHES Provenance A statement of any changes in ownership and custody of the resource since its creation that are significant for its authenticity, integrity, and interpretation. The statement may include a description of any changes successive custodians made to the resource. IHES Language A language of the resource EN Coverage The spatial or temporal topic of the resource, the spatial applicability of the resource, or the jurisdiction under which the resource is relevant 1992 Rights Holder A person or organization owning or managing rights over the resource. IHES MICHEL 1992 ABEL BETTI BRAVAIS BRILLOUIN CRISTALLOGRAPHIE EN EUCLIDE EULER FEDOROV GRAMM HERMANN HESSE HIGGS JORDAN MATHEMATIQUES MAUGUIN MAXIMUMS ET MINIMUMS MICHEL MONTROLL MORSE PHYSIQUE POINCARE PREPUBLICATION RIEMANN RYDBERG SCHONFLIES SMOLLETT SYMETRIE THEORIE DE MORSE VAN HOVE VANHOVE ZONES DE BRILLOUIN