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Existence of solution of the pullback equation involving volume forms

Authors:

SAUGATA BANDYOPADHYAY

Institution:

1.Department of Mathematical Sciences,Indian Institute of Science Education and Research,Mohanpur,India

Abstract:

Let Ω ⊂ ℝⁿ be a smooth, bounded domain. We study the existence and regularity of diffeomorphisms of Ω satisfying the volume form equation

f^*(g)=f, \textin W, \phi^\ast(g)=f, \quad \text{in }\Omega,

Keywords:
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