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, 2000, roč. 12, č. 1, s. 51-84. ISSN 0926-2245. |
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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, 2000, roč.~12, č.~1, s.~51-84. ISSN~0926-2245.
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