Informace o publikaci

Invariant operators on manifolds with almost Hermitian symmetric structures, III. Standard operators

Autoři

SLOVÁK Jan CAP Andreas SOUČEK Vladimír

Rok publikování 2000
Druh Článek v odborném periodiku
Časopis / Zdroj Differential Geometry and its Applications
Fakulta / Pracoviště MU

Přírodovědecká fakulta

Citace
Obor Obecná matematika
Klíčová slova invariant operators; Hermitian symmetric spaces; parabolic geometry; standard operators
Popis 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.
Související projekty:

Používáte starou verzi internetového prohlížeče. Doporučujeme aktualizovat Váš prohlížeč na nejnovější verzi.

Další info