| SLOVÁK, Jan, Andreas CAP a Vladimír SOUČEK. Invariant operators on manifolds with almost Hermitian symmetric structures, III. Standard operators. Differential Geometry and its Applications. Amsterdam: Elsevier Science, roč. 12, č. 1, s. 51-84. ISSN 0926-2245. 2000. |
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@article{344670,
author = {Slovák, Jan and Cap, Andreas and Souček, Vladimír},
article_location = {Amsterdam},
article_number = {1},
keywords = {invariant operators; Hermitian symmetric spaces; parabolic geometry; standard operators},
language = {eng},
issn = {0926-2245},
journal = {Differential Geometry and its Applications},
title = {Invariant operators on manifolds with almost Hermitian symmetric structures, III. Standard operators},
volume = {12},
year = {2000}
}
TY - JOUR
ID - 344670
AU - Slovák, Jan - Cap, Andreas - Souček, Vladimír
PY - 2000
TI - Invariant operators on manifolds with almost Hermitian symmetric structures, III. Standard operators
JF - Differential Geometry and its Applications
VL - 12
IS - 1
SP - 51
EP - 51
PB - Elsevier Science
SN - 09262245
KW - invariant operators
KW - Hermitian symmetric spaces
KW - parabolic geometry
KW - standard operators
N2 - This paper demonstrates the power of the calculus developed in the two previous parts of the series for all real forms of the almost Hermitian symmetric structures on smooth manifolds, including e.g. conformal Riemannian and almost quaternionic geometries. We give explicit formulae for distinguished invariant curved analogues of the standard operators in terms of the linear connections belonging to the structures in question, so in particular we prove their existence. Moreover, these formulae are universal for all geometries in question.
ER -
SLOVÁK, Jan, Andreas CAP a Vladimír SOUČEK. Invariant operators on manifolds with almost Hermitian symmetric structures, III. Standard operators. \textit{Differential Geometry and its Applications}. Amsterdam: Elsevier Science, roč.~12, č.~1, s.~51-84. ISSN~0926-2245. 2000.
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