000 03073nam a22005537a 4500
001 sulb-eb0023136
003 BD-SySUS
005 20160413122336.0
007 cr nn 008mamaa
008 130618s2013 sz | s |||| 0|eng d
020 _a9783034805346
_9978-3-0348-0534-6
024 7 _a10.1007/978-3-0348-0534-6
_2doi
050 4 _aQA614-614.97
072 7 _aPBKS
_2bicssc
072 7 _aMAT034000
_2bisacsh
082 0 4 _a514.74
_223
100 1 _aChiang, Yuan-Jen.
_eauthor.
245 1 0 _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.
264 1 _aBasel :
_bSpringer Basel :
_bImprint: Birkhäuser,
_c2013.
300 _aXXI, 399 p. 9 illus., 1 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aFrontiers in Mathematics,
_x1660-8046
505 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 _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 introduced in 1986. The book presents an overview of the important developments made in these fields since they first came up. Furthermore, it introduces biwave maps (generalizing wave maps) which were first studied in 2009, and bi-Yang-Mills fields (generalizing Yang-Mills fields) first investigated in 2008. Other topics discussed are exponential harmonic maps, exponential wave maps and exponential Yang-Mills fields.
650 0 _aMathematics.
650 0 _aGlobal analysis (Mathematics).
650 0 _aManifolds (Mathematics).
650 0 _aPartial differential equations.
650 0 _aFunctions of complex variables.
650 0 _aDifferential geometry.
650 0 _aCalculus of variations.
650 1 4 _aMathematics.
650 2 4 _aGlobal Analysis and Analysis on Manifolds.
650 2 4 _aDifferential Geometry.
650 2 4 _aPartial Differential Equations.
650 2 4 _aCalculus of Variations and Optimal Control; Optimization.
650 2 4 _aSeveral Complex Variables and Analytic Spaces.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783034805339
830 0 _aFrontiers in Mathematics,
_x1660-8046
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-0348-0534-6
912 _aZDB-2-SMA
942 _2Dewey Decimal Classification
_ceBooks
999 _c45228
_d45228