Zobrazeno 1 - 10
of 55
pro vyhledávání: '"Franz Pedit"'
Publikováno v:
Springer Proceedings in Mathematics & Statistics ISBN: 9783030685409
We introduce a family of variational functionals for spinor fields on a compact Riemann surface M that can be used to find close-to-conformal immersions of M into \(\mathbb {R}^3\) in a prescribed regular homotopy class. Numerical experiments indicat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::627e063f33b83f4f16048d096896d69d
https://doi.org/10.1007/978-3-030-68541-6_2
https://doi.org/10.1007/978-3-030-68541-6_2
Starting from the vortex filament flow introduced in 1906 by Da Rios, there is a hierarchy of commuting geometric flows on space curves. The traditional approach relates those flows to the nonlinear Schrodinger hierarchy satisfied by the complex curv
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dd93023b5862cb4cee0d07ae4b5dbee0
https://doi.org/10.1017/9781108773287.013
https://doi.org/10.1017/9781108773287.013
Publikováno v:
Bulletin of the London Mathematical Society. 50:509-512
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c16bc048d955987d521725c42ea0b997
https://doi.org/10.1112/blms.12155
https://doi.org/10.1112/blms.12155
Publikováno v:
manuscripta mathematica. 130:311-352
A conformal immersion of a 2-torus into the 4-sphere is characterized by an auxiliary Riemann surface, its spectral curve. This complex curve encodes the monodromies of a certain Dirac type operator on a quaternionic line bundle associated to the imm
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::57e9f4fc4b689be4031341ede8fbee4a
https://doi.org/10.1007/s00229-009-0288-x
https://doi.org/10.1007/s00229-009-0288-x
Autor:
Katrin Leschke, Franz Pedit
Publikováno v:
Mathematische Zeitschrift. 259:113-122
In this paper we develop the theory of Willmore sequences for Willmore surfaces in the 4-sphere. We show that under appropriate conditions this sequence has to terminate. In this case the Willmore surface either is the twistor projection of a holomor
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::512dcdcee9ab57b356e22136d11d472f
https://doi.org/10.1007/s00209-007-0214-4
https://doi.org/10.1007/s00209-007-0214-4
Publikováno v:
Communications in Analysis and Geometry. 6:633-668
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c18623168288137c4e8772f78330ed61
https://doi.org/10.4310/cag.1998.v6.n4.a1
https://doi.org/10.4310/cag.1998.v6.n4.a1
Autor:
Udo Hertrich-Jeromin, Franz Pedit
Publikováno v:
Documenta Mathematica. 2:313-333
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::23dc8dd94ed8ba7f08cba7632f3811f9
https://doi.org/10.4171/dm/32
https://doi.org/10.4171/dm/32
Autor:
Franz Pedit, Dirk Ferus
Publikováno v:
Manuscripta Mathematica. 91:445-454
In this paper we study maps (curved flats) into symmetric spaces which are tangent at each point to a flat of the symmetric space. Important examples of such maps arise from isometric immersions of space forms into space forms via their Gauss maps. F
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::11c15b96da305dd16bfb2d326a1de6e3
https://doi.org/10.1007/bf02567965
https://doi.org/10.1007/bf02567965
Autor:
Franz Pedit, Dirk Ferus
Publikováno v:
Mathematische Annalen. 305:329-342
This paper studies isometric immersions of space forms by means of a hierarchy of finite dimensional integrable systems in Lax form on loop algebras.
Comment: 15 pages, latex2e, postscript available at http://www_sfb288.math.tu-berlin.de/preprin
Comment: 15 pages, latex2e, postscript available at http://www_sfb288.math.tu-berlin.de/preprin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4027b1d01179d10963cc79f2cf898119
https://doi.org/10.1007/bf01444224
https://doi.org/10.1007/bf01444224