The paper establishes a version of the Hopf boundary point lemma for sections of a vector bundle over a manifold with boundary. This result may be viewed as a counterpart to the tensor maximum principle obtained by R. Hamilton in 1986. Potential applications include the study of various geometric flows and the construction of invariant sets for geometric boundary value problems.
Cite this article
Artem Pulemotov, The Hopf boundary point lemma for vector bundle sections. Comment. Math. Helv. 83 (2008), no. 2, pp. 407–419DOI 10.4171/CMH/130