000 02749nam 2200601 a 45’0
001 ocm42476109
003 DLC
005 19990930114008.0
008 000718s2000 nyu 001 0 eng H
010 $a99049808
020 $a038798948X (alk. paper)
040 $aDLC$cDLC
040 $aDLC$cDLC$dOrLoB-B
042 $apcc
050 00 $aQA649$b.B358 2000
092 $a516.373$bB22
100 1 $aBao, David Dai-Wai.
245 13 $aAn introduction to Riemann-Finsler geometry /$cD.
Bao, S.S. Chern, Z. Shen.
260 $aNew York ;$aHong Kong :$bSpringer,$cc2000.
300 $axx, 431 p.: :$bill. ;$c25 cm.
440 0 $aGraduate texts in mathematics ;$v200.
504 $aIncludes bibliographical references (p.
[419]-425) and index.
650 0 $aGeometry, Riemannian.
650 0 $aFinsler spaces.
700 1 $aChern, Shiing-Shen,$d1911-
700 1 $aShen, Zhongmin,$d1963-
970 01 $tPreface
970 01 $tAcknowledgments
970 11 $lPt. 1$tFinsler Manifolds and Their Curvature$p1
970 12 $lCh. 1$tFinsler Manifolds and the Fundamentals of
Minkowski Norms$p1
970 12 $lCh. 2$tThe Chern Connection$p27
970 12 $lCh. 3$tCurvature and Schur's Lemma$p49
970 12 $lCh. 4$tFinsler Surfaces and a Generalized
Gauss-Bonnet Theorem$p81
970 11 $lPt. 2$tCalculus of Variations and Comparison
Theorems$p111
970 12 $lCh. 5$tVariations of Arc Length, Jacobi Fields,
the Effect of Curvature$p111
970 12 $lCh. 6$tThe Gauss Lemma and the Hopf-Rinow
Theorem$p139
970 12 $lCh. 7$tThe Index Form and the Bonnet-Myers
Theorem$p173
970 12 $lCh. 8$tThe Cut and Conjugate Loci, and Synge's
Theorem$p199
970 12 $lCh. 9$tThe Cartan-Hadamard Theorem and Rauch's
First Theorem$p225
970 11 $lPt. 3$tSpecial Finsler Spaces over the Reals$p257
970 12 $lCh. 10$tBerwald Spaces and Szabo's Theorem for
Berwald Surfaces$p257
970 12 $lCh. 11$tRanders Spaces and an Elegant
Theorem$p281
970 12 $lCh. 12$tConstant Flag Curvature Spaces and
Akbar-Zadeh's Theorem$p311
970 12 $lCh. 13$tRiemannian Manifolds and Two of Hopf's
Theorems$p351
970 12 $lCh. 14$tMinkowski Spaces, the Theorems of Deicke
and Brickell$p383
970 01 $tBibliography$p419
970 01 $tIndex$p427
993 01 $edl
980 $aZhongmin Shen is Associate Professor of
Mathematics at Indiana University-Purdue University at
Indianapolis (IUPUI).
980 $aShiing-Shen Chern is Professor Emeritus of
Mathematics at the University of California at Berkeley, and
Director Emeritus of the Mathematical Sciences Research
Institute.
980 $aDavid Bao is Professor of Mathematics and of the
Honors College, at the University of Houston.
997 $boclc
997 $bacas
