Proceedings of the American Mathematical Society

Author(s): Giovanni Gentile
Journal: Proc. Amer. Math. Soc. 127 (1999), 2755-2758.
MSC (1991): Primary 53C20; Secondary 58G25
Posted: April 23, 1999
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Abstract: Let

be the framebundle over an oriented, $C^\infty$ Riemannian surface

. Denote by $\lambda-{1,1}(P,g)$ the first nonzero eigenvalue of the Laplace operator acting on differential forms of degree 1. We prove that $\lambda _{1,1}(P,g)\le c$ for all

with canonical metrics

of volume 1.

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