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 …

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 …

We study biharmonic submanifolds of the Euclidean sphere that satisfy certain geometric
properties. We classify:(i) the biharmonic hypersurfaces with at most two distinct principal …

Submanifolds of finite type were introduced by the author during the late 1970s. The first
results on this subject were collected in author's books [26, 29]. In 1991, a list of twelve open …

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 …

We classify all biharmonic Legendre curves in a Sasakian space form and obtain their
explicit parametric equations in the (2 n+ 1)-dimensional unit sphere endowed with the …

Harmonic maps between Riemannian manifolds were first established by James Eells and
Joseph H. Sampson in 1964. Wave maps are harmonic maps on Minkowski spaces and …

In this paper we give necessary and sufficient conditions for spacelike and timelike curves in
a conformally flat, quasi conformally flat and conformally symmetric 4-dimensional …

A class of biminimal Legendrian submanifolds in Sasakian space forms - Sasahara - 2014 -
Mathematische Nachrichten - Wiley Online Library Skip to Article Content Skip to Article …

Biharmonic maps between Riemannian manifolds are defined as critical points of the
bienergy and generalized harmonic maps. In this paper, we give necessary and sufficient …