An Osserman-type condition on g.f.f-manifolds with Lorentz metric

Letizia Brunetti. "An Osserman-type condition on g.f.f-manifolds with Lorentz metric." Annales Polonici Mathematici 110.2 (2014): 123-141. <http://eudml.org/doc/281086>.

@article{LetiziaBrunetti2014,
abstract = {A condition of Osserman type, called the φ-null Osserman condition, is introduced and studied in the context of Lorentz globally framed f-manifolds. An explicit example shows the naturality of this condition in the setting of Lorentz 𝓢-manifolds. We prove that a Lorentz 𝓢-manifold with constant φ-sectional curvature is φ-null Osserman, extending a well-known result in the case of Lorentz Sasaki space forms. Then we state a characterization of a particular class of φ-null Osserman 𝓢-manifolds. Finally, some examples are examined.},
author = {Letizia Brunetti},
journal = {Annales Polonici Mathematici},
keywords = {Lorentz manifold; Osserman condition; Lorentz metric; Lorentz -structure},
language = {eng},
number = {2},
pages = {123-141},
title = {An Osserman-type condition on g.f.f-manifolds with Lorentz metric},
url = {http://eudml.org/doc/281086},
volume = {110},
year = {2014},
}

TY - JOUR
AU - Letizia Brunetti
TI - An Osserman-type condition on g.f.f-manifolds with Lorentz metric
JO - Annales Polonici Mathematici
PY - 2014
VL - 110
IS - 2
SP - 123
EP - 141
AB - A condition of Osserman type, called the φ-null Osserman condition, is introduced and studied in the context of Lorentz globally framed f-manifolds. An explicit example shows the naturality of this condition in the setting of Lorentz 𝓢-manifolds. We prove that a Lorentz 𝓢-manifold with constant φ-sectional curvature is φ-null Osserman, extending a well-known result in the case of Lorentz Sasaki space forms. Then we state a characterization of a particular class of φ-null Osserman 𝓢-manifolds. Finally, some examples are examined.
LA - eng
KW - Lorentz manifold; Osserman condition; Lorentz metric; Lorentz -structure
UR - http://eudml.org/doc/281086
ER -