000 03064nam a22005295i 4500
003 DE-He213
005 20191011093235.0
007 cr nn 008mamaa
008 130618s2013 sz | s |||| 0|eng d
020 6 4 _a9783034805346
_9978-3-0348-0534-6
024 8 7 _a10.1007/978-3-0348-0534-6
_2doi
050 8 4 _aQA614-614.97
072 8 7 _aPBKS
_2bicssc
072 8 7 _aMAT034000
_2bisacsh
082 _a514.74
_223
100 8 1 _aChiang, Yuan-Jen.
_eauthor.
_995839
245 9 7 _aDevelopments of Harmonic Maps, Wave Maps and Yang-Mills Fields into Biharmonic Maps, Biwave Maps and Bi-Yang-Mills Fields
_h[electronic resource] /
_cby Yuan-Jen Chiang.
001 000058666
300 6 4 _aXXI, 399 p. 9 illus., 1 illus. in color.
_bonline resource.
490 8 1 _aFrontiers in Mathematics,
_x1660-8046
505 8 0 _aPreface. 1 Harmonic Maps -- 2 Wave Maps.-3 Yang-Mills Fields -- 4 Biharmonic Maps -- 5 Biwave Maps -- 6 Bi-Yang-Mills Fields.-7 Exponential Harmonic Maps.-8 Exponential Wave Maps -- 9.Exponential Yang-Mills Connections -- Index. .
520 6 4 _aHarmonic maps between Riemannian manifolds were first established in 1964. Wave maps are harmonic maps on Minkowski spaces and have been studied since the 1990s. Yang-Mills fields, the critical points of Yang-Mills functionals of connections whose curvature tensors are harmonic, were explored by a few physicists in the 1950s, and biharmonic maps (generalizing harmonic maps) were introducedin 1986. The book presents an overview of the important developments madein these fields since they first came up. Furthermore,it introduces biwave maps (generalizing wave maps) which were first studiedin 2009, and bi-Yang-Mills fields (generalizing Yang-Mills fields) first investigated in 2008. Other topicsdiscussed are exponential harmonic maps, exponential wave maps and exponential Yang-Mills fields.
650 8 0 _aMathematics.
_98571
650 8 0 _aGlobal analysis.
_917903
650 8 0 _aDifferential equations, partial.
_99614
650 8 0 _aGlobal differential geometry.
_99530
650 8 0 _aMathematical optimization.
_995840
650 _aMathematics.
_98571
650 _aGlobal Analysis and Analysis on Manifolds.
_917904
650 _aDifferential Geometry.
_99532
650 _aPartial Differential Equations.
_99616
650 _aCalculus of Variations and Optimal Control; Optimization.
_911366
650 _aSeveral Complex Variables and Analytic Spaces.
_912257
710 8 2 _aSpringerLink (Online service)
_995841
773 8 0 _tSpringer eBooks
776 _iPrinted edition:
_z9783034805339
830 8 0 _aFrontiers in Mathematics,
_x1660-8046
_995842
856 _uhttp://dx.doi.org/10.1007/978-3-0348-0534-6
_zde clik aquí para ver el libro electrónico
264 8 1 _aBasel :
_bSpringer Basel :
_bImprint: Birkhuser,
_c2013.
336 6 4 _atext
_btxt
_2rdacontent
337 6 4 _acomputer
_bc
_2rdamedia
338 6 4 _aonline resource
_bcr
_2rdacarrier
347 6 4 _atext file
_bPDF
_2rda
516 6 4 _aZDB-2-SMA
999 _c58396
_d58396
942 _c05