Holomorphons and the standard almost complex structure on $S^6$

Jan Milewski. "Holomorphons and the standard almost complex structure on $S^6$." Commentationes Mathematicae 46.2 (2006): null. <http://eudml.org/doc/292051>.

@article{JanMilewski2006,
abstract = {We consider Euler–Lagrange equations of families of nonnegative functionals defined on tensor fields of the type (1, 1), which are equal to zero only for complex structures tensor fields. As a solution of the equations we define the notion of holomorphon to distinguish a new class of tensor fields on Riemannian manifolds. Next, as our main result, we construct a holomorphon on the 6-dimensional sphere $S^6$.},
author = {Jan Milewski},
journal = {Commentationes Mathematicae},
keywords = {Riemannian geometry; almost complex structure; Nijenhuis tensor; variational principle},
language = {eng},
number = {2},
pages = {null},
title = {Holomorphons and the standard almost complex structure on $S^6$},
url = {http://eudml.org/doc/292051},
volume = {46},
year = {2006},
}

TY - JOUR
AU - Jan Milewski
TI - Holomorphons and the standard almost complex structure on $S^6$
JO - Commentationes Mathematicae
PY - 2006
VL - 46
IS - 2
SP - null
AB - We consider Euler–Lagrange equations of families of nonnegative functionals defined on tensor fields of the type (1, 1), which are equal to zero only for complex structures tensor fields. As a solution of the equations we define the notion of holomorphon to distinguish a new class of tensor fields on Riemannian manifolds. Next, as our main result, we construct a holomorphon on the 6-dimensional sphere $S^6$.
LA - eng
KW - Riemannian geometry; almost complex structure; Nijenhuis tensor; variational principle
UR - http://eudml.org/doc/292051
ER -