@article {Mondino2013,
	title = {The Conformal Willmore Functional: A Perturbative Approach},
	journal = {Journal of Geometric Analysis},
	volume = {23},
	number = {2},
	year = {2013},
	month = {Apr},
	pages = {764{\textendash}811},
	abstract = {<p>The conformal Willmore functional (which is conformal invariant in general Riemannian manifolds $(M,g)$ is studied with a perturbative method: the Lyapunov{\textendash}Schmidt reduction. Existence of critical points is shown in ambient manifolds $(\mathbb{R}^3,g_\epsilon)$ {\textendash} where $g_\epsilon$ is a metric close and asymptotic to the Euclidean one. With the same technique a non-existence result is proved in general Riemannian manifolds $(M,g)$ of dimension three.</p>},
	issn = {1559-002X},
	doi = {10.1007/s12220-011-9263-3},
	url = {https://doi.org/10.1007/s12220-011-9263-3},
	author = {Andrea Mondino}
}
