(L^2\)-estimates for the \(d\)-operator acting on super forms

In the setting of super forms developed in a previous article by the author, we introduce the notion of \(\mathbb{R}\)-K\"ahler metrics on \(\mathbb{R}^{n}\). We consider existence theorems and \(L^{2}-\)estimates for the equation \(d\alpha=\beta\), where \(\alpha\) and \(\beta\) are super form...

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Bibliographic Details
Published inarXiv.org
Main Author Lagerberg, Aron
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 19.09.2011
Subjects
Estimates
Existence theorems
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Summary:In the setting of super forms developed in a previous article by the author, we introduce the notion of \(\mathbb{R}\)-K\"ahler metrics on \(\mathbb{R}^{n}\). We consider existence theorems and \(L^{2}-\)estimates for the equation \(d\alpha=\beta\), where \(\alpha\) and \(\beta\) are super forms, in the spirit of H\"ormander's \(L^{2}-\)estimates for the \(\bar{\partial}-\)equation on a complex K\"ahler manifold.
ISSN:2331-8422