Results 11 to 20 of about 1,906 (180)
THE BIANCHI–DARBOUX TRANSFORM OF L-ISOTHERMIC SURFACES [PDF]
International Journal of Mathematics, 2000 We study an analogue of the classical Bäcklund transformation for L-isothermic surfaces in Laguerre geometry, the Bianchi–Darboux transformation. First we show how to construct the Bianchi–Darboux transforms of an L-isothermic surface by solving an integrable linear differential system, then we establish a permutability theorem for iterated Bianchi ...
MUSSO E., NICOLODI, Lorenzo
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Example of Bianchi Transformation of Kuen’s Surface
Izvestiya of Altai State University, 2021 The work is devoted to the study of the Bianchi transformation for surfaces of constant negative Gaussian curvature. The surfaces of rotation of constant negative Gaussian curvature are the Minding top, the Minding coil, and the pseudosphere (Beltrami surface).
М.A. Cheshkova, A.A. Pavlova
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Degenerate Bianchi Transformations for Three-Dimensional Pseudo-Spherical Submanifolds in $${\mathbb {R}}^5$$ [PDF]
Mediterranean Journal of Mathematics, 2021 Three-dimensional pseudo-spherical submanifolds in $\mathbb R^5$, whose Bianchi transformations are degenerate of rank 2, are studied. A complete description of such submanifolds is obtained in the case where the Bianchi transformations are holonomically degenerate.
A. A. Borisenko, V. O. Gorkavyy
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On Bianchi permutability of Bäcklund transformations for asymmetric quad-equations [PDF]
Journal of Nonlinear Mathematical Physics, 2021 33 pages, 23 ...
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Bianchi–Bäcklund transforms and dressing actions, revisited [PDF]
Geometriae Dedicata, 2009 We characterize Bianchi-Bäcklund transformations of surfaces of positive constant Gauss curvature in terms of dressing actions of the simplest type on the space of harmonic maps.
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Simple factor dressings and Bianchi–Bäcklund transformations
Illinois Journal of Mathematics, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cho, Joseph, Ogata, Yuta
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Integrability conditions for the Bianchi identities as transformations in Schwarzschild space-time [PDF]
The Journal of the Australian Mathematical Society. Series B. Applied Mathematics, 1999 AbstractWe investigate the relationship between the Bardeen-Press and the Regge-Wheeler equations for perturbations of the Schwarzschild geometry. We examine how tetrad and coordinate gauge invariant Regge-Wheeler field quantities arise naturally from the perturbed Bianchi identities in the modified Newman-Penrose (compacted spincoefficient) formalism.
Fernandes, J. F. Q., Lun, A. W.-C.
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On Bianchi’s Bäcklund transformation of quadrics
Journal of Geometry and Physics, 2013 We investigate basic features of Bianchi's Bäcklund transformation of quadrics to see if it can be obtained under weaker assumptions and if it can be generalized to deformations of other surfaces.
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Ueber eine Transformation von Luigi Bianchi [PDF]
Annali di Matematica Pura ed Applicata, 1914 n ...
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Bianchi's Hazzidakis transformation for generic higher dimensional quadrics
Journal of Geometry and Physics, 2022 We provide a generalization of Bianchi's Hazzidakis transformation from $2$-dimensional quadrics to generic higher dimensional quadrics.
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