| Record ID | marc_columbia/Columbia-extract-20221130-031.mrc:81074981:3798 |
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LEADER: 03798cam a2200673Ia 4500
001 15080725
005 20220604232317.0
006 m o d
007 cr mnu---unuuu
008 101109s2011 flu ob 001 0 eng d
035 $a(OCoLC)ocn680017862
035 $a(NNC)15080725
040 $aN$T$beng$epn$cN$T$dEBLCP$dYDXCP$dCDX$dE7B$dOSU$dOCLCQ$dMHW$dOCLCQ$dDEBSZ$dOCLCQ$dIDEBK$dOCLCF$dOCLCQ$dMERUC$dOCLCQ$dNJR$dOCLCQ$dNLE$dOCLCQ$dUKMGB$dWYU$dOCLCQ$dK6U$dOCLCO
015 $aGBB7A9662$2bnb
016 7 $a018392262$2Uk
019 $a741351097$a816619693
020 $a9781439834602$q(electronic bk.)
020 $a1439834601$q(electronic bk.)
020 $a1282903098
020 $a9781282903098
020 $z9781439834596$q(hardcover ;$qalk. paper)
020 $z1439834598$q(hardcover ;$qalk. paper)
024 8 $a9786612903090
035 $a(OCoLC)680017862$z(OCoLC)741351097$z(OCoLC)816619693
037 $a290309$bMIL
050 4 $aQA295$b.Z43 2011eb
072 7 $aMAT$x002030$2bisacsh
072 7 $aPBM, PBKF$2bicssc
082 04 $a512.9/7$222
049 $aZCUA
100 1 $aZhang, Qi S.
245 10 $aSobolev inequalities, heat kernels under Ricci flow, and the Poincaré conjecture /$cQi S. Zhang.
260 $aBoca Raton :$bCRC Press,$c©2011.
300 $a1 online resource (x, 422 pages)
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
504 $aIncludes bibliographical references (pages 409-419) and index.
505 0 $aFront cover; Preface; Contents; Chapter 1. Introduction; Chapter 2. Sobolev inequalities in the Euclidean space; Chapter 3. Basics of Riemann geometry; Chapter 4. Sobolev inquealities on manifolds and some consequences; Chapter 5. Basics of Ricci flow; Chapter 6. Perelman's entropies and Sobolev inequality for Ricci flow, the smooth case; Chapter 7. Properties of ancient k solutions and singularity analysis for 3-dimensional Ricci flow; Chapter 8. Sobolev inequality and the Ricci flow, the case with surgeries; Chapter 9. Applications to the proof of Poincare conjecture; Bibliography; Index.
520 $aFocusing on Sobolev inequalities and their applications to analysis on manifolds and Ricci flow, "Sobolev Inequalities, Heat Kernels under Ricci Flow, and the Poincare Conjecture" introduces the field of analysis on Riemann manifolds and uses the tools of Sobolev imbedding and heat kernel estimates to study Ricci flows, especially with surgeries. The author explains key ideas, difficult proofs, and important applications in a succinct, accessible, and unified manner. The book first discusses Sobolev inequalities in various settings, including the Euclidean case, the Riemannian case.
588 0 $aPrint version record.
650 0 $aInequalities (Mathematics)
650 0 $aSobolev spaces.
650 0 $aRicci flow.
650 0 $aPoincaré conjecture.
650 6 $aInégalités (Mathématiques)
650 6 $aEspaces de Sobolev.
650 6 $aFlot de Ricci.
650 6 $aConjecture de Poincaré.
650 7 $aMATHEMATICS$xAlgebra$xElementary.$2bisacsh
650 7 $aInequalities (Mathematics)$2fast$0(OCoLC)fst00972020
650 7 $aPoincaré conjecture.$2fast$0(OCoLC)fst01743073
650 7 $aRicci flow.$2fast$0(OCoLC)fst01200544
650 7 $aSobolev spaces.$2fast$0(OCoLC)fst01122115
655 0 $aElectronic books.
655 4 $aElectronic books.
776 08 $iPrint version:$aZhang, Qi S.$tSobolev inequalities, heat kernels under Ricci flow, and the Poincaré conjecture.$dBoca Raton : CRC Press, ©2011$z9781439834596$w(DLC) 2010018868$w(OCoLC)462925960
856 40 $uhttp://www.columbia.edu/cgi-bin/cul/resolve?clio15080725$zTaylor & Francis eBooks
852 8 $blweb$hEBOOKS