Explicit proof of Poincaré inequality for differential forms on manifolds
C. R. Math. Rep. Acad. Sci. Canada Vol. 33 (1) 2011, pp. 21–32
March 30, 2011
Leonid Shartser, Department of Mathematics, University of Toronto, 40 St. George Street, Toronto, ON M5S 2E4; e-mail: shartl@math.toronto.edu
Abstract/Résumé:
We prove a Poincaré type inequality for differential forms on compact manifolds by means of a constructive ‘globalization’ of a local Poincaré inequality on convex sets.
On prouve une inégalité de Poincaré pour les formes différentielles sur les variétés compactes à l’aide d’une ‘globalisation’ constructive d’une inégalité de Poincaré locale pour les ensembles convexes.
Keywords:
AMS Subject Classification: Differential forms 58A10
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Explicit proof of Poincaré inequality for differential forms on manifolds
AMS Subject Classification: Differential forms 58A10
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