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001 978-3-642-29846-2
003 DE-He213
005 20190213151216.0
007 cr nn 008mamaa
008 120629s2012 gw | s |||| 0|eng d
020 _a9783642298462
_9978-3-642-29846-2
024 7 _a10.1007/978-3-642-29846-2
_2doi
050 4 _aQA641-670
072 7 _aPBMP
_2bicssc
072 7 _aMAT012030
_2bisacsh
072 7 _aPBMP
_2thema
082 0 4 _a516.36
_223
100 1 _aFröhlich, Steffen.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aCoulomb Frames in the Normal Bundle of Surfaces in Euclidean Spaces
_h[electronic resource] :
_bTopics from Differential Geometry and Geometric Analysis of Surfaces /
_cby Steffen Fröhlich.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c2012.
300 _aXIV, 117 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v2053
505 0 _aSurface Geometry -- Elliptic Systems -- Normal Coulomb Frames in R4 -- Normal Coulomb Frames in Rn+2.
520 _aThis book is intended for advanced students and young researchers interested in the analysis of partial differential equations and differential geometry. It discusses elementary concepts of surface geometry in higher-dimensional Euclidean spaces, in particular the differential equations of Gauss-Weingarten together with various integrability conditions and corresponding surface curvatures. It includes a chapter on curvature estimates for such surfaces, and, using results from potential theory and harmonic analysis, it addresses geometric and analytic methods to establish the existence and regularity of Coulomb frames in their normal bundles, which arise as critical points for a functional of total torsion.
650 0 _aGlobal differential geometry.
650 0 _aDifferential equations, partial.
650 0 _aFunctions of complex variables.
650 1 4 _aDifferential Geometry.
_0http://scigraph.springernature.com/things/product-market-codes/M21022
650 2 4 _aPartial Differential Equations.
_0http://scigraph.springernature.com/things/product-market-codes/M12155
650 2 4 _aFunctions of a Complex Variable.
_0http://scigraph.springernature.com/things/product-market-codes/M12074
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642298455
776 0 8 _iPrinted edition:
_z9783642298479
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v2053
856 4 0 _uhttps://doi.org/10.1007/978-3-642-29846-2
912 _aZDB-2-SMA
912 _aZDB-2-LNM
999 _c9887
_d9887