Conformal curvature for the normal bundle of a conformal foliation

Angel Montesinos

Volume and area renormalizations for conformally compact Einstein metrics

Graham, Robin C.

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Let $X$ be the interior of a compact manifold $\bar{X}$ of dimension $n + 1$ with boundary $M = \partial X$ , and $g_{+}$ be a conformally compact metric on $X$ , namely $\bar{g} \equiv r^{2} g_{+}$ extends continuously (or with some degree of smoothness) as a metric to $X$ , where $r$ denotes a defining function for $M$ , i.e. $r > 0$ on $X$ and $r = 0$ , $d r \neq 0$ on $M$ . The restrction of $\bar{g}$ to $T M$ rescales upon changing $r$ , so defines invariantly a conformal class of metrics on $M$ , which is called the conformal infinity of $g_{+}$ . In the present paper, the author considers conformally compact...

The fundamental equations of conformal submersions.

Ornea, Liviu, Romani, Giuliano (1993)

Beiträge zur Algebra und Geometrie

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