NDLI: On a Theorem of Chern

Content Provider	Scilit
Author	Sampson, J. H.
Copyright Year	1973
Description	A new proof is given for Chern's theorem showing that the Laplace operator for differential forms commutes with decomposition of forms associated with G-structures admitting a suitable connection. An analogous result is proved for symmetric tensor fields, and an application is made to determine all harmonic symmetric fields on a compact space of constant negative curvature. Vector-valued forms are also discussed.
Related Links	http://www.ams.org/tran/1973-177-00/S0002-9947-1973-0317221-7/S0002-9947-1973-0317221-7.pdf
Ending Page	153
Page Count	13
Starting Page	141
ISSN	00029947
e-ISSN	10886850
DOI	10.2307/1996588
Journal	Transactions of the American Mathematical Society
Volume Number	177
Language	English
Publisher	Duke University Press
Access Restriction	Open
Subject Keyword	Mathematical Physics Theorem of Chern
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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On a Theorem of Chern