The Hopf boundary point lemma for vector bundle sections | Zendy

Artem Pulemotov | Zendy

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The Hopf boundary point lemma for vector bundle sections

Author(s) -

Artem Pulemotov

Publication year - 2008

Publication title -

commentarii mathematici helvetici

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.603

H-Index - 46

eISSN - 1420-8946

pISSN - 0010-2571

DOI - 10.4171/cmh/130

Subject(s) - mathematics , lemma (botany) , vector bundle , mathematical analysis , vector valued differential form , boundary (topology) , normal bundle , pure mathematics , invariant (physics) , frame bundle , mathematical physics , ecology , poaceae , biology

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.

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