Lichnerowicz-type equations on complete manifolds
نویسندگان
چکیده
منابع مشابه
The Lichnerowicz theorem on CR manifolds
For any compact strictly pseudoconvex CR manifold M endowed with a contact form θ we obtain the Bochner type formula 1 2 ∆b(|∇f |2) = |πH∇f |2 + (∇f)(∆bf) + ρ(∇Hf,∇Hf) + 2Lf (involving the sublaplacian ∆b and the pseudohermitian Ricci curvature ρ). WhenM is compact of CR dimension n and ρ(X,X)+ 2A(X, JX) ≥ k Gθ(X,X), X ∈ H(M), we derive the estimate −λ ≥ 2nk/(2n− 1) on each nonzero eigenvalue λ...
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ژورنال
عنوان ژورنال: Advances in Nonlinear Analysis
سال: 2016
ISSN: 2191-9496,2191-950X
DOI: 10.1515/anona-2015-0106