Coulomb Frames in the Normal Bundle of Surfaces in Euclidean Spaces Topics from Differential Geometry and Geometric Analysis of Surfaces /

This 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-Wei...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Fröhlich, Steffen (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2012.
Σειρά:Lecture Notes in Mathematics, 2053
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
LEADER 02603nam a22004935i 4500
001 978-3-642-29846-2
003 DE-He213
005 20151204190024.0
007 cr nn 008mamaa
008 120629s2012 gw | s |||| 0|eng d
020 |a 9783642298462  |9 978-3-642-29846-2 
024 7 |a 10.1007/978-3-642-29846-2  |2 doi 
040 |d GrThAP 
050 4 |a QA641-670 
072 7 |a PBMP  |2 bicssc 
072 7 |a MAT012030  |2 bisacsh 
082 0 4 |a 516.36  |2 23 
100 1 |a Fröhlich, Steffen.  |e author. 
245 1 0 |a Coulomb Frames in the Normal Bundle of Surfaces in Euclidean Spaces  |h [electronic resource] :  |b Topics from Differential Geometry and Geometric Analysis of Surfaces /  |c by Steffen Fröhlich. 
264 1 |a Berlin, Heidelberg :  |b Springer Berlin Heidelberg :  |b Imprint: Springer,  |c 2012. 
300 |a XIV, 117 p.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
490 1 |a Lecture Notes in Mathematics,  |x 0075-8434 ;  |v 2053 
505 0 |a Surface Geometry -- Elliptic Systems -- Normal Coulomb Frames in R4 -- Normal Coulomb Frames in Rn+2. 
520 |a This 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 |a Mathematics. 
650 0 |a Functions of complex variables. 
650 0 |a Partial differential equations. 
650 0 |a Differential geometry. 
650 1 4 |a Mathematics. 
650 2 4 |a Differential Geometry. 
650 2 4 |a Partial Differential Equations. 
650 2 4 |a Functions of a Complex Variable. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer eBooks 
776 0 8 |i Printed edition:  |z 9783642298455 
830 0 |a Lecture Notes in Mathematics,  |x 0075-8434 ;  |v 2053 
856 4 0 |u http://dx.doi.org/10.1007/978-3-642-29846-2  |z Full Text via HEAL-Link 
912 |a ZDB-2-SMA 
912 |a ZDB-2-LNM 
950 |a Mathematics and Statistics (Springer-11649)