LEADER 03177nam  22005295  450 
001 9910300120203321
005 20200704102204.0
010   $a981-13-1598-1
024 7 $a10.1007/978-981-13-1598-5
035   $a(CKB)4100000006675078
035   $a(MiAaPQ)EBC5521386
035   $a(DE-He213)978-981-13-1598-5
035   $z(PPN)25886270X
035   $a(PPN)230535887
035   $a(EXLCZ)994100000006675078
100   $a20180921d2018      u|         0
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 14$aThe Geometry of Spherically Symmetric Finsler Manifolds /$fby Enli Guo, Xiaohuan Mo
205   $a1st ed. 2018.
210  1$aSingapore :$cSpringer Singapore :$cImprint: Springer,$d2018.
215   $a1 online resource (161 pages)
225 1 $aSpringerBriefs in Mathematics,$x2191-8198
311   $a981-13-1597-3 
327   $aChapter 1. Spherically Symmetric Finsler Metrics -- Chapter 2. Dually Flat Spherically Symmetric Metrics -- Chapter 3. Spherically Symmetric Metrics of Isotropic Berwald Curvature -- Chapter 4. Spherically Symmetric Douglas Metrics -- Chapter 5. Projectively Flat Spherically Symmetric Metrics -- Chapter 6. Spherically Symmetric Metrics of Scalar Curvature -- Chapter 7. Spherically Symmetric Metrics of Constant Flag Curvature -- Chapter 8. Spherically Symmetric W-quadratic Metrics. .
330   $aThis book presents properties, examples, rigidity theorems and classification results of such Finsler metrics. In particular, this book introduces how to investigate spherically symmetric Finsler geometry using ODE or PDE methods. Spherically symmetric Finsler geometry is a subject that concerns domains in R^n with spherically symmetric metrics. Recently, a significant progress has been made in studying Riemannian-Finsler geometry. However, constructing nice examples of Finsler metrics turn out to be very difficult. In spherically symmetric Finsler geometry, we find many nice examples with special curvature properties using PDE technique. The studying of spherically symmetric geometry shows closed relation among geometry, group and equation.
410  0$aSpringerBriefs in Mathematics,$x2191-8198
606   $aGeometry, Differential
606   $aGlobal analysis (Mathematics)
606   $aManifolds (Mathematics)
606   $aDifferential Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21022
606   $aGlobal Analysis and Analysis on Manifolds$3https://scigraph.springernature.com/ontologies/product-market-codes/M12082
615  0$aGeometry, Differential.
615  0$aGlobal analysis (Mathematics)
615  0$aManifolds (Mathematics)
615 14$aDifferential Geometry.
615 24$aGlobal Analysis and Analysis on Manifolds.
676   $a516.375
700   $aGuo$b Enli$4aut$4http://id.loc.gov/vocabulary/relators/aut$0768001
702   $aMo$b Xiaohuan$4aut$4http://id.loc.gov/vocabulary/relators/aut
906   $aBOOK
912   $a9910300120203321
996   $aThe Geometry of Spherically Symmetric Finsler Manifolds$92272619
997   $aUNINA