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 Wysłany: Pon 12:15, 17 Sty 2011 Temat postu: abercrombie fitch outlet Inequalities of Eigenvalu |
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Inequalities of Eigenvalues for the Dirac Operator on Compact Complex Spin Submanifolds in Complex Projective Spaces
[5】 Baum, H. , AnupperboundforthefirsteigenvalueoftheDiracoperatoroncompactspinmanifolds, Math. Z. ,206,[link widoczny dla zalogowanych],1991,409-422. [6] Bunke, U. , UpperboundsofsmalleigenvaluesoftheDiracoperatorandisometricimmersions, Ann. Glob. Ana1. Geom. ,9,1991,109-116. [7] Chen, D. G. , ExtrinsiceigenvalueestimatesoftheDiracoperator. math. DG/0701847. [8] Cheng, Q. M. andYang, H. C. , EstimatesoneigenvaluesofLaplacian, Math. Ann. ,331,2005,445-460. [9] Cheng, Q. M. andYang, H. C. , InequalitiesofeigenvaluesonLaplacianondomainsandcompacthyper-surfacesincomplexprojectivespaces, J. Math. Soc. Japan ,58,2006,545-561. [10] Cheng, Q. M. andYang, H. C. , BoundsoneigenvluesofDirichletLaplacian, Math. Ann. ,337,2007,159-175. [11】 Friedrich, T. , DiracoperatorsinRiemanniangeometry, GraduateStudiesinMathematics, 25, A. M. S. , Providence, RhodeIsland, 2000. [12] Gilkey, P. B. , InvarianceTheory, theHeatEquation, andtheAtiyah-SingerIndexTheorem, 2ndedition, CRCPros, BocaRaton, 1995. [131Hile, G. N. andProtter, M. H. , InequalitiesforeigenvaluesoftheLaplacian, IndianaUniv. Math. J. ,[link widoczny dla zalogowanych], 29,1980.52538. fl4】 [15] [16] Li, P. , Eigenvalueestimatesonhomogeneousmanifolds, Comment. Math. Helv. ,55,1980,347-363Lawson, H. andMichelsohn, M. , SpinGeometry, PrincentonUniv. Press, Princenton, 1989. Payne, G. E. , Polya, G. andWeinberget \F. , Ontherationofconsecutiveeigenvalue, J. Math. Phys35 ,1956,289-298 .17] Sun, H. J. ,[link widoczny dla zalogowanych], Cheng, Q. M. andYang, H. C. ,[link widoczny dla zalogowanych], LowerordereigenvaluesofDirichletLaplacian, ManuscriptaMath. , Toappear. A 18] Yang, H. C. , AnEstimateoftheDifferanceBetweenConsecutiveEigenvalues, preprint, IC/91/60ofICTP, Trieste, 1991, Revisedpreprint, fromAcademiaSinica, 1995.
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