CR submanifolds of maximal CR dimension in complex manifolds

• Autorzy: Mirjana Djorić , Masafumi Okumura
• Języki publikacji: EN

Abstrakty

EN

The aim of this paper is to investigate n-dimensional real submanifolds of complex manifolds in the case when the maximal holomorphic tangent space is (n-1)-dimensional. In particular, we give some examples and we consider the Levi form on these submanifolds, especially when the ambient space is a complex space form. Moreover, we show that on some remarkable class of real hypersurfaces of complex space forms, the Levi form cannot vanish identically.

Kategorie tematyczne

• 53C15: General geometric structures on manifolds (almost complex, almost product structures, etc.)
• 53C25: Special Riemannian manifolds (Einstein, Sasakian, etc.)
• 53C40: Global submanifolds

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2002
• Tom: 57
• Numer: 1
• Strony: 89-99

Daty

wydano

2002

Twórcy

autor

Mirjana Djorić

• Faculty of Mathematics, University of Belgrade, Studentski trg 16, pb 550, 11000 Belgrade, Yugoslavia

autor

Masafumi Okumura

• Department of Mathematics, Saitama University, Shimo-Okubo, Urawa, 338 Japan

Identyfikatory

DOI

10.4064/bc57-0-6