Complete minimal submanifolds with nullity in the hyperbolic space

M Dajczer, T Kasioumis, A Savas-Halilaj… - The Journal of Geometric …, 2019 - Springer
We investigate complete minimal submanifolds f: M^ 3 → H^ nf: M 3→ H n in hyperbolic
space with index of relative nullity at least one at any point. The case when the ambient …

Killing fields and conservation laws for rank-1 Toda field equations

D Fox - arxiv preprint arxiv:1208.2634, 2012 - arxiv.org
We present a connection between the Killing fields that arise in the loop-group approach to
integrable systems and conservation laws viewed as elements of the characteristic …

[PDF][PDF] Minimal submanifolds with nullity in space forms

Θ Κασιούμης - 2019 - 62.217.125.140
A fundamental concept in submanifold theory is the notion of the relative nullity distribution
that was introduced by Chern and Kuiper [13]. The relative nullity of a submanifold in a …

Minimal submanifolds with nullity in space forms

T Kasioumis - 2018 - didaktorika.gr
In this thesis, we investigate complete minimal isometric immersions f: Mm-> Qcn into space
forms with positive index of relative nullity. The index of relative nullity was introduced by …