Full Laplace spectrum of distance spheres in symmetric spaces of rank one

RG Bettiol, EA Lauret, P Piccione - Bulletin of the London …, 2022 - Wiley Online Library
We use Lie‐theoretic methods to explicitly compute the full spectrum of the Laplace–
Beltrami operator on homogeneous spheres which occur as geodesic distance spheres in …

Deformations of free boundary CMC hypersurfaces

RG Bettiol, P Piccione, B Santoro - The Journal of Geometric Analysis, 2017 - Springer
We study deformations of free boundary constant mean curvature (CMC) hypersurfaces
whose Jacobi operator is degenerate due to symmetries of the ambient space. The value of …

Equivariant bifurcation in geometric variational problems

RG Bettiol, P Piccione, G Siciliano - … Equations: A Tribute to Bernhard Ruf …, 2014 - Springer
We prove an extension of a celebrated equivariant bifurcation result of J. Smoller and A.
Wasserman [21], in an abstract framework for geometric variational problems. With this …

Delaunay-type hypersurfaces in cohomogeneity one manifolds

RG Bettiol, P Piccione - International Mathematics Research …, 2016 - academic.oup.com
Classical Delaunay surfaces are highly symmetric constant mean curvature (CMC)
submanifolds of space forms. We prove the existence of Delaunay-type hypersurfaces in a …

Bifurcation of Clifford tori in Berger 3-spheres

LL De Lima, JH De Lira… - The Quarterly Journal of …, 2014 - academic.oup.com
BIFURCATION OF CLIFFORD TORI IN BERGER 3-SPHERES Page 1 The Quarterly Journal of
Mathematics Advance Access published on February 23, 2014 Quart. J. Math. 65 (2014) …

A numerical analysis of planar central and balanced configurations in the (n+ 1)-body problem with a small mass

A Doicu, L Zhao, A Doicu - arXiv preprint arXiv:2207.04413, 2022 - arxiv.org
Two numerical algorithms for analyzing planar central and balanced configurations in the
$(n+ 1) $-body problem with a small mass are presented. The first one relies on a direct …

Deforming solutions of geometric variational problems with varying symmetry groups

RG Bettiol, P Piccione, G Siciliano - Transformation Groups, 2014 - Springer
We prove an equivariant implicit function theorem for variational problems that are invariant
under a varying symmetry group (corresponding to a bundle of Lie groups). Motivated by …

Bifurcation of -Minimal Hypersurfaces in a Weighted Killing Warped Product

H Fernandes de Lima, G Molica Bisci… - Immersions in Warped …, 2024 - Springer
Bifurcation of $$\varphi $$ -Minimal Hypersurfaces in a Weighted Killing Warped Product |
SpringerLink Skip to main content Advertisement Springer Nature Link Account Menu Find a …

On the bifurcation of spacelike hypersurfaces with constant mean curvature in spacetimes

MAL Velásquez, AFA Ramalho - Differential Geometry and its Applications, 2023 - Elsevier
In a time-oriented Lorentzian manifold M‾ n+ 1, we use equivariant bifurcation theory in
order to establish sufficient conditions that allow us to guarantee the existence of bifurcation …

Bifurcation of -Hypersurfaces in Riemannian Warped Products

H Fernandes de Lima, G Molica Bisci… - Immersions in Warped …, 2024 - Springer
According to Barbosa and do Carmo and Barbosa et al. any compact hypersurface Σ n \documentclass[12pt]{minimal}
\usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} …