Matches in SemOpenAlex for { <https://semopenalex.org/work/W2359511339> ?p ?o ?g. }
Showing items 1 to 69 of
69
with 100 items per page.
- W2359511339 abstract "The Properties of submanifolds in a Bochner-Kaehler manifold have been studied mainly in the cases that the submanifolds are totally real by Vane, K., Houh, C. S. and others.The main purpose of the present paper is to study whether the condition for the submanifold to be totolly real in their theorems is necessary, and to prove some theorems which are analogous to those mentioned above.A submanifold M~n of Kaehlerian manifold M~(2m) is called totally real or antiinvariant, if each tangent space of M~n is mapped into the normal space by the complex structure F_(νμ) of M~(2m). Similarly, a submanifold M~n of Kaehlerian manifold M~(2m) is called anti-invariant with respect to L′, if each tangent space of M~n is mapped into the normal space by the operator L′ of M~(2m).We obtain:(1) A necessary and sufficient condition for a totally umbilical submanifold M~n, n3, in a Bochner-Kachler manifold M~(2m) to be confromally fiat is that the submanifold M~n is either a totally real submanifold or an anti-ivariant submanifold with respect to L′.(2) Let M~n be the submanifold immersed in a Bochner-Kaehler manifold M~(2m). If each tangent vector of M~n is Ricci principal direction and Ricci principal curvature ρ_h does not equal (?)/(4(m+1)), then the anti-invariant submanifold with respect to L′ coincides with the totally real submanifold.(3) Let M~n be a totally umbilical submanifold immersed in a Bochner-Kaehler manifold M~(2m). If M~n is a totally real submanifold or an anti-invariant submanifold, then the sectional curvature of M~n is given byρ(u,v)=1/8((?)(u)+(?)(v))+sum from x=n+1 to 2m (H~2((?)_x)), (A) where H((?)_x)=H_x. Conversely, if the sectional curvature of M~n satisfying the condition mentioned in (2) is given by (A) for any two orthonormal tangent vectors u~a and v~a, then M~n is a totally real submanifold." @default.
- W2359511339 created "2016-06-24" @default.
- W2359511339 creator A5081185377 @default.
- W2359511339 date "1982-01-01" @default.
- W2359511339 modified "2023-09-25" @default.
- W2359511339 title "ANTI-INVARIANT SUBMANIFOLDS IN A BOCHNER-KAEHLER MANIFOLD" @default.
- W2359511339 hasPublicationYear "1982" @default.
- W2359511339 type Work @default.
- W2359511339 sameAs 2359511339 @default.
- W2359511339 citedByCount "0" @default.
- W2359511339 crossrefType "journal-article" @default.
- W2359511339 hasAuthorship W2359511339A5081185377 @default.
- W2359511339 hasConcept C119830904 @default.
- W2359511339 hasConcept C127413603 @default.
- W2359511339 hasConcept C134306372 @default.
- W2359511339 hasConcept C138187205 @default.
- W2359511339 hasConcept C151300846 @default.
- W2359511339 hasConcept C157157409 @default.
- W2359511339 hasConcept C175017881 @default.
- W2359511339 hasConcept C190470478 @default.
- W2359511339 hasConcept C195065555 @default.
- W2359511339 hasConcept C202444582 @default.
- W2359511339 hasConcept C2524010 @default.
- W2359511339 hasConcept C33923547 @default.
- W2359511339 hasConcept C37914503 @default.
- W2359511339 hasConcept C529865628 @default.
- W2359511339 hasConcept C78519656 @default.
- W2359511339 hasConceptScore W2359511339C119830904 @default.
- W2359511339 hasConceptScore W2359511339C127413603 @default.
- W2359511339 hasConceptScore W2359511339C134306372 @default.
- W2359511339 hasConceptScore W2359511339C138187205 @default.
- W2359511339 hasConceptScore W2359511339C151300846 @default.
- W2359511339 hasConceptScore W2359511339C157157409 @default.
- W2359511339 hasConceptScore W2359511339C175017881 @default.
- W2359511339 hasConceptScore W2359511339C190470478 @default.
- W2359511339 hasConceptScore W2359511339C195065555 @default.
- W2359511339 hasConceptScore W2359511339C202444582 @default.
- W2359511339 hasConceptScore W2359511339C2524010 @default.
- W2359511339 hasConceptScore W2359511339C33923547 @default.
- W2359511339 hasConceptScore W2359511339C37914503 @default.
- W2359511339 hasConceptScore W2359511339C529865628 @default.
- W2359511339 hasConceptScore W2359511339C78519656 @default.
- W2359511339 hasLocation W23595113391 @default.
- W2359511339 hasOpenAccess W2359511339 @default.
- W2359511339 hasPrimaryLocation W23595113391 @default.
- W2359511339 hasRelatedWork W1572217283 @default.
- W2359511339 hasRelatedWork W1994871096 @default.
- W2359511339 hasRelatedWork W2024642445 @default.
- W2359511339 hasRelatedWork W2040188962 @default.
- W2359511339 hasRelatedWork W2040894833 @default.
- W2359511339 hasRelatedWork W2059447785 @default.
- W2359511339 hasRelatedWork W2071263744 @default.
- W2359511339 hasRelatedWork W2079355117 @default.
- W2359511339 hasRelatedWork W2097057246 @default.
- W2359511339 hasRelatedWork W2259387389 @default.
- W2359511339 hasRelatedWork W2270929558 @default.
- W2359511339 hasRelatedWork W2312038124 @default.
- W2359511339 hasRelatedWork W2355774471 @default.
- W2359511339 hasRelatedWork W2356030312 @default.
- W2359511339 hasRelatedWork W2370733979 @default.
- W2359511339 hasRelatedWork W2393651771 @default.
- W2359511339 hasRelatedWork W2579038330 @default.
- W2359511339 hasRelatedWork W282379827 @default.
- W2359511339 hasRelatedWork W2903669948 @default.
- W2359511339 hasRelatedWork W2952885555 @default.
- W2359511339 isParatext "false" @default.
- W2359511339 isRetracted "false" @default.
- W2359511339 magId "2359511339" @default.
- W2359511339 workType "article" @default.