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Some vanishing and domination theorems of geometric invariants. (Quelques théorèmes d’annulation et de majoration d’invariants géométriques.) (French) Zbl 0751.58038

In the paper under review the author describes in an elegant way some recent results due to S. Rosenberg, Contemp. Math. 73, 287-302 (1988; Zbl 0657.53022), S. Gallot, Astérisque 157-158, 191-216 (1988; Zbl 0665.53041), and the author, Bull. Am. Math. Soc., New Ser. 19, No. 2, 371-406 (1988; Zbl 0662.53037), concerning some extensions of the well known Bochner’s vanishing theorem.

MSC:

58J50 Spectral problems; spectral geometry; scattering theory on manifolds
53C21 Methods of global Riemannian geometry, including PDE methods; curvature restrictions
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References:

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