000 02874nam a22004695i 4500
001 978-3-642-24888-7
003 DE-He213
005 20140220083304.0
007 cr nn 008mamaa
008 130129s2012 gw | s |||| 0|eng d
020 _a9783642248887
_9978-3-642-24888-7
024 7 _a10.1007/978-3-642-24888-7
_2doi
050 4 _aQA641-670
072 7 _aPBMP
_2bicssc
072 7 _aMAT012030
_2bisacsh
082 0 4 _a516.36
_223
100 1 _aCheng, Xinyue.
_eauthor.
245 1 0 _aFinsler Geometry
_h[electronic resource] :
_bAn Approach via Randers Spaces /
_cby Xinyue Cheng, Zhongmin Shen.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c2012.
300 _aVIII, 150 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aRanders Spaces -- Randers Metrics and Geodesics -- Randers Metrics of Isotropic S-Curvature -- Riemann Curvature and Ricci Curvature -- Projective Geometry of Randers Spaces -- Randers Metrics with Special Riemann Curvature Properties -- Randers Metrics of Weakly Isotropic Flag Curvature.-Projectively Flat Randers Metrics -- Conformal Geometry of Randers Metrics -- Dually Flat Randers Metrics.
520 _a"Finsler Geometry: An Approach via Randers Spaces" exclusively deals with a special class of Finsler metrics -- Randers metrics, which are defined as the sum of a Riemannian metric and a 1-form. Randers metrics derive from the research on General Relativity Theory and have been applied in many areas of the natural sciences. They can also be naturally deduced as the solution of the Zermelo navigation problem. The book provides readers not only with essential findings on Randers metrics but also the core ideas and methods which are useful in Finsler geometry. It will be of significant interest to researchers and practitioners working in Finsler geometry, even in differential geometry or related natural fields. Xinyue Cheng is a Professor at the School of Mathematics and Statistics of Chongqing University of Technology, China. Zhongmin Shen is a Professor at the Department of Mathematical Sciences of Indiana University Purdue University, USA.
650 0 _aMathematics.
650 0 _aGeometry.
650 0 _aGlobal differential geometry.
650 0 _aMathematical physics.
650 1 4 _aMathematics.
650 2 4 _aDifferential Geometry.
650 2 4 _aGeometry.
650 2 4 _aMathematical Methods in Physics.
700 1 _aShen, Zhongmin.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642248870
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-642-24888-7
912 _aZDB-2-SMA
999 _c102355
_d102355