WebAbstract. For any compact strictly pseudoconvex CR manifold M M endowed with a contact form θ θ we obtain the Bochner type formula 1 2Δb( ∇Hf 2) = πH∇2f 2+(∇Hf)(Δbf)+ρ(∇Hf,∇Hf)+2Lf 1 2 Δ b ( ∇ H f 2) = π H ∇ 2 f 2 + ( ∇ H f) ( Δ b f) + ρ ( ∇ H f, ∇ H f) + 2 L f (involving the sublaplacian Δb Δ b and the ... Web09. jun 2015. · We prove a Lichnerowicz type vanishing theorem for non-compact spin manifolds admiting proper cocompact actions. This extends a previous result of Ziran Liu …
Introduction - Michigan State University
Web(Loop space analogue of Lichnerovicz theorem for positive scalar curvature). Another pleasant corollary (of the method): Miraculous cancellation formula: express the L-form in terms of the twisted Aˆ-forms. (12-dimension, Alveraz-Gaume, Witten). Special case (Ochanine): For a dimension 8k+ 4 spin manifold M, Sign(M) ‚ 0(16): Web06. apr 2024. · André Lichnerovicz (1915 – 1998). Differential Geometry and Mathematical Physics. This post is devoted to a recent very nice discovery due to Boáz Klartag on the … curtis sliwa arrested
THE LICHNEROWICZ THEOREM ON CR MANIFOLDS - JSTOR
WebDG ] J un A NOTE ON THE LICHNEROWICZ VANISHING THEOREM FORPROPER ACTIONS. WEIPING ZHANG. Abstract. We prove a Lichnerowicz type vanishing … Web5.2. The uniqueness theorem in a Sasaki-Einstein class31 6. The qc-Yamabe problem and the Obata type uniqueness theorem31 6.1. The Yamabe problem on a 7-D qc-Einstein … The Lichnerowicz formula (also known as the Lichnerowicz–Weitzenböck formula) is a fundamental equation in the analysis of spinors on pseudo-Riemannian manifolds. In dimension 4, it forms a piece of Seiberg–Witten theory and other aspects of gauge theory. It is named after noted mathematicians André Lichnerowicz who proved it in 1963, and Roland Weitzenböck. The formula gives a relationship between the Dirac operator and the Laplace–Beltrami operator acting on spin… chase beckley wv phone number