Quadratic tilt-excess decay and strong maximum principle for varifolds

• Reiner Schätzle ^[1]
  1. [1] Rheinischen Friedrich-Wilhelms-Universit¨at Bonn, Germany
• Localización: Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 3, Nº 1, 2004, págs. 171-231
• Idioma: inglés
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  • Abstract. In this paper, we prove that integral n-varifolds µ in codimension 1 with Hµ ∈ L loc (µ), p > n, p ≥ 2 have quadratic tilt-excess decay tiltexµ (x , , Tx µ) = Ox ( 2 ) for µ-almost all x , and a strong maximum principle which states that these varifolds cannot be touched by smooth manifolds whose mean curvature is given by the weak mean curvature Hµ , unless the smooth manifold is locally contained in the support of µ.