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A generalisation of the Hopf Construction and harmonic morphisms into $\s^2$
S. Montaldo, A. Ratto
In this paper we construct a new family of harmonic morphisms $φ:V^5\to\s^2$, where is a 5-dimensional open manifold contained in an ellipsoidal hypersurface of $\c^4=\r^8$.…
Biharmonic submanifolds of
D. Fetcu, E. Loubeau, S. Montaldo +1
We give some general results on proper-biharmonic submanifolds of a complex space form and, in particular, of the complex projective space. These results are mainly concerned with…
Radial Balanced metrics on the unit disk
Antonio Greco, Andrea Loi
Let be a strictly plurisubharmonic and radial function on the unit disk ${\cal D}\subset {\complex}$ and let be the \K metric associated to the \K form $ω=\frac{i}{2}\parti…
Riemannian geometry of Hartogs domains
Antonio J. Di Scala, Andrea Loi, Fabio Zuddas
Let $D_F = \{(z_0, z) \in {\C}^{n} | |z_0|^2 < b, \|z\|^2 < F(|z_0|^2) \}$ be a strongly pseudoconvex Hartogs domain endowed with the \K metric associated to the \K form $ω_F…
Biharmonic Hypersurfaces in 4-Dimensional Space Forms
A. Balmuş, S. Montaldo, C. Oniciuc
We investigate proper biharmonic hypersurfaces with at most three distinct principal curvatures in space forms. We obtain the full classification of proper biharmonic hypersurfaces…
TYZ expansion for the Kepler manifold
Todor Gramchev, Andrea Loi
The main goal of the paper is to address the issue of the existence of Kempf's distortion function and the Tian-Yau-Zelditch (TYZ) asymptotic expansion for the Kepler manifold - an…