[图书][B] Pseudo-Riemannian geometry,[delta]-invariants and applications
BY Chen - 2011 - books.google.com
The first part of this book provides a self-contained and accessible introduction to the subject
in the general setting of pseudo-Riemannian manifolds and their non-degenerate …
in the general setting of pseudo-Riemannian manifolds and their non-degenerate …
A short survey on biharmonic maps between Riemannian manifolds
S Montaldo, C Oniciuc - Revista de la Unión Matemática …, 2006 - SciELO Argentina
A short survey on biharmonic maps between Riemannian manifolds SciELO - Scientific
Electronic Library Online vol.47 número2 II Encuentro de Geometría Diferencial: 6 al 11 de junio …
Electronic Library Online vol.47 número2 II Encuentro de Geometría Diferencial: 6 al 11 de junio …
[HTML][HTML] Higher order energy functionals
The study of higher order energy functionals was first proposed by Eells and Sampson in
1965 and, later, by Eells and Lemaire in 1983. These functionals provide a natural …
1965 and, later, by Eells and Lemaire in 1983. These functionals provide a natural …
On the biharmonic and harmonic indices of the Hopf map
Biharmonic maps are the critical points of the bienergy functional and, from this point of view,
generalize harmonic maps. We consider the Hopf map $\psi:\mathbb {S}^ 3\to\mathbb {S} …
generalize harmonic maps. We consider the Hopf map $\psi:\mathbb {S}^ 3\to\mathbb {S} …
Biharmonic maps into a Riemannian manifold of non-positive curvature
N Nakauchi, H Urakawa, S Gudmundsson - Geometriae Dedicata, 2014 - Springer
We study biharmonic maps between Riemannian manifolds with finite energy and finite bi-
energy. We show that if the domain is complete and the target of non-positive curvature, then …
energy. We show that if the domain is complete and the target of non-positive curvature, then …
[HTML][HTML] Biharmonic maps between warped product manifolds
A Balmuş, S Montaldo, C Oniciuc - Journal of Geometry and Physics, 2007 - Elsevier
Biharmonic maps between warped product manifolds - ScienceDirect Skip to main contentSkip
to article Elsevier logo Journals & Books Search RegisterSign in View PDF Download full …
to article Elsevier logo Journals & Books Search RegisterSign in View PDF Download full …
Classifications and isolation phenomena of bi-harmonic maps and bi-Yang-Mills fields
T Ichiyama, J Inoguchi, H Urakawa - arXiv preprint arXiv:0912.4806, 2009 - arxiv.org
Classifications of all biharmonic isoparametric hypersurfaces in the unit sphere, and all
biharmonic homogeneous real hypersurfaces in the complex or quaternionic projective …
biharmonic homogeneous real hypersurfaces in the complex or quaternionic projective …
The index of biharmonic maps in spheres
Biharmonic maps are the critical points of the bienergy functional and generalise harmonic
maps. We investigate the index of a class of biharmonic maps derived from minimal …
maps. We investigate the index of a class of biharmonic maps derived from minimal …
Triharmonic isometric immersions into a manifold of non-positively constant curvature
S Maeta, N Nakauchi, H Urakawa - Monatshefte für Mathematik, 2015 - Springer
A triharmonic map is a critical point of the 3-energy in the space of smooth maps between
two Riemannian manifolds. We study the generalized Chen's conjecture for a triharmonic …
two Riemannian manifolds. We study the generalized Chen's conjecture for a triharmonic …
On Characterization Canal Surfaces around Timelike Horizontal Biharmonic Curves in Lorentzian Heisenberg Group Heis3
E Turhan, T Körpinar - Zeitschrift für Naturforschung A, 2011 - degruyter.com
In this paper, we describe a new method for constructing a canal surface surrounding a
timelike horizontal biharmonic curve in the Lorentzian Heisenberg group Heis3. Firstly, we …
timelike horizontal biharmonic curve in the Lorentzian Heisenberg group Heis3. Firstly, we …