SLOVÁK, Jan, Andreas CAP and Vladimír SOUČEK. Invariant operators on manifolds with almost Hermitian symmetric structures, III. Standard operators. Differential Geometry and its Applications. Amsterdam: Elsevier Science, 2000, vol. 12, No 1, p. 51-84. ISSN 0926-2245.
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Basic information
Original name Invariant operators on manifolds with almost Hermitian symmetric structures, III. Standard operators
Authors SLOVÁK, Jan, Andreas CAP and Vladimír SOUČEK.
Edition Differential Geometry and its Applications, Amsterdam, Elsevier Science, 2000, 0926-2245.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10101 Pure mathematics
Country of publisher Netherlands
Confidentiality degree is not subject to a state or trade secret
Impact factor Impact factor: 0.449
RIV identification code RIV/00216224:14310/00:00002564
Organization unit Faculty of Science
UT WoS 000087046900005
Keywords in English invariant operators; Hermitian symmetric spaces; parabolic geometry; standard operators
Tags Hermitian symmetric spaces, invariant operators, parabolic geometry, standard operators
Changed by Changed by: prof. RNDr. Jan Slovák, DrSc., učo 1424. Changed: 18/12/2000 18:38.
Abstract
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.
Links
GA201/96/0310, research and development projectName: Geometrické struktury a invariantní operátory
Investor: Czech Science Foundation, Geometric structures and invariant operators
MSM 143100009, plan (intention)Name: Matematické struktury algebry a geometrie
Investor: Ministry of Education, Youth and Sports of the CR, Mathematical structures of algebra and geometry
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