Differential forms on manifolds with boundary and corners


GÜRER S. , Iglesias-Zemmour P.

INDAGATIONES MATHEMATICAE-NEW SERIES, cilt.30, ss.920-929, 2019 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 30 Konu: 5
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1016/j.indag.2019.07.004
  • Dergi Adı: INDAGATIONES MATHEMATICAE-NEW SERIES
  • Sayfa Sayıları: ss.920-929

Özet

We identify the category of manifolds with boundary and corners with a subcategory of the category {Diffeology}. Then, we show that any differential form on a manifold with boundary or corners, embedded in a smooth manifold, extends to a differential form on an open neighbourhood. As an example of application, we discuss the structure of SO(2)(2) invariant closed 2-forms on R-2n. (C) 2019 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved.