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Curvature and the eigenvalues of the Dolbeault complex for Kaehler manifolds

✍ Scribed by Peter B Gilkey

Publisher
Elsevier Science
Year
1973
Tongue
English
Weight
715 KB
Volume
11
Category
Article
ISSN
0001-8708

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✦ Synopsis

Such local formulae have been discussed in the real case in [ 1, 31. We can construct maps of order 2m by taking combinations of Chern classes on M and E. Such maps will map metrics g, h to 2m forms and will vanish identically on all manifolds of the form M = T, >( Nzme2 where g, h are product metrics flat over T, . In this paper, we will prove that this property uniquely characterizes these polynomials. 311

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