# Infinitesimal characterization of almost Hermitian homogeneous spaces

Sergio Console; Lorenzo Nicolodi

Commentationes Mathematicae Universitatis Carolinae (1999)

- Volume: 40, Issue: 4, page 713-721
- ISSN: 0010-2628

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topConsole, Sergio, and Nicolodi, Lorenzo. "Infinitesimal characterization of almost Hermitian homogeneous spaces." Commentationes Mathematicae Universitatis Carolinae 40.4 (1999): 713-721. <http://eudml.org/doc/248425>.

@article{Console1999,

abstract = {In this note it is shown that almost Hermitian locally homogeneous manifolds are determined, up to local isometries, by an integer $k_H$, the covariant derivatives of the curvature tensor up to order $k_H+2$ and the covariant derivatives of the complex structure up to the second order calculated at some point. An example of a Hermitian locally homogeneous manifold which is not locally isometric to any Hermitian globally homogeneous manifold is given.},

author = {Console, Sergio, Nicolodi, Lorenzo},

journal = {Commentationes Mathematicae Universitatis Carolinae},

keywords = {almost Hermitian homogeneous spaces; Singer invariant; almost Hermitian homogeneous space; Singer invariant; almost Hermitian infinitesimal model},

language = {eng},

number = {4},

pages = {713-721},

publisher = {Charles University in Prague, Faculty of Mathematics and Physics},

title = {Infinitesimal characterization of almost Hermitian homogeneous spaces},

url = {http://eudml.org/doc/248425},

volume = {40},

year = {1999},

}

TY - JOUR

AU - Console, Sergio

AU - Nicolodi, Lorenzo

TI - Infinitesimal characterization of almost Hermitian homogeneous spaces

JO - Commentationes Mathematicae Universitatis Carolinae

PY - 1999

PB - Charles University in Prague, Faculty of Mathematics and Physics

VL - 40

IS - 4

SP - 713

EP - 721

AB - In this note it is shown that almost Hermitian locally homogeneous manifolds are determined, up to local isometries, by an integer $k_H$, the covariant derivatives of the curvature tensor up to order $k_H+2$ and the covariant derivatives of the complex structure up to the second order calculated at some point. An example of a Hermitian locally homogeneous manifold which is not locally isometric to any Hermitian globally homogeneous manifold is given.

LA - eng

KW - almost Hermitian homogeneous spaces; Singer invariant; almost Hermitian homogeneous space; Singer invariant; almost Hermitian infinitesimal model

UR - http://eudml.org/doc/248425

ER -

## References

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