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 manifold. Proof of Theorem6.332 6.2. The uniqueness theorem in a 3-Sasakin conformal class.35 7. The CR Lichneorwicz and Obata theorems35 7.1. The CR Lichneorwicz first ... Web06. apr 2024. · Published 2024-04-06. André Lichnerovicz (1915 – 1998). Differential Geometry and Mathematical Physics. This post is devoted to a recent result due to Boáz …
Integrals of subharmonic functions on manifolds of nonnegative ...
WebThe functional F m has a natural interpretation in terms of Bochner-Lichnerovicz formulas. The classical formulas of Bochner (for one-forms) and Lichnerovicz (for spinors) ... The … 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) … chloe boyefio
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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… Web01. dec 1998. · W. Kramer, U. Semmelmann, G. Weingart, Eigenvalue estimates for the Dirac operator on quaternionic Kahler manifolds, e-print dg-ga/9703021. [23] A. Lichnerovicz, La premiere valeur propre de lperateur de Dirac pour une variete Kahlerienne et son cas limite, C. R. Acad. Sci. Paris Ser. 1306 (1990) 381-385. [24] WebIn his study on the structure of the complex Lie algebra of holomorphic vector fields on a compact Kähler manifold, Lichnerowicz ( [3] Theorem 2, see also [1] and [4]) shows that … chloe boyan