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Energy forms on conformal C 1 ‐diffeomorphic images of the Sierpinski gasket
Author(s) -
Freiberg Uta Renata,
Lancia Maria Rosaria
Publication year - 2008
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200510606
Subject(s) - diffeomorphism , mathematics , sierpinski triangle , pullback , conformal map , class (philosophy) , pure mathematics , extension (predicate logic) , gasket , mathematical analysis , fractal , geometry , physics , computer science , artificial intelligence , thermodynamics , programming language
The energy form on a conformal C 1 ‐diffeomorphic image G of the Sierpinski gasket K is constructed by integrating the Lagrangian LG on G , which is given in terms of the pullback of the Lagrangian LK on K and of the differential of the diffeomorphism. The extension of this approach to the class of nested fractals is outlined. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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