Frustrated Order on Extrinsic Geometries
نویسندگان
چکیده
منابع مشابه
ar X iv : 1 10 8 . 15 73 v 1 [ co nd - m at . s of t ] 7 A ug 2 01 1 Frustrated order on extrinsic geometries
We study, analytically and theoretically, defects in a nematically-ordered surface that couple to the extrinsic geometry of a surface. Though the intrinsic geometry tends to confine topological defects to regions of large Gaussian curvature, extrinsic couplings tend to orient the nematic in the local direction of maximum or minimum bending. This additional frustration is unavoidable and most im...
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The geometries of higher order, defined in the present paper as the study of the category of jet bundles (J o M, π,M), were suggested by the old problem of the prolongations to J o M of Riemannian structures g apriori given on the base manifold M. In the case k = 1 there are very good examples: the geometry of Finsler spaces and the geometry of Lagrange spaces, [3]. For k > 1 there are some geo...
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Yurij Holovatch, Dmytro Ivaneyko and Bertrand Delamotte 1 Institute for Condensed Matter Physics and Ivan Franko National University of Lviv, UA–79011 Lviv, Ukraine 2 Institute für Theoretische Physik, Johannes Kepler Universität Linz, A-4040 Linz, Austria 3 Ivan Franko National University of Lviv, UA–79005 Lviv, Ukraine 4 Laboratoire de Physique Théorique et Hautes Energies, Universités Paris ...
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ژورنال
عنوان ژورنال: Physical Review Letters
سال: 2012
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.108.017801