NDLI: NORMAL ANTI-INVARIANT SUBMANIFOLDS OF PARAQUATERNIONIC KÄHLER MANIFOLDS Novac-Claudiu Chiriac

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NORMAL ANTI-INVARIANT SUBMANIFOLDS OF PARAQUATERNIONIC KÄHLER MANIFOLDS Novac-Claudiu Chiriac

Content Provider	Semantic Scholar
Author	Chiriac, Novac-Claudiu
Copyright Year	2006
Abstract	We introduce normal anti-invariant submanifolds of paraquaternionic Kähler manifolds and study the geometric structures induced on them. We obtain necessary and su¢ cient conditions for the integrability of the distributions dened on a normal anti-invariant submanifold. Also, we present characterizations of local (global) anti-invariant products. Full text References [1] A. Bejancu, Geometry of CR-Submanifolds, D. Reidel Publish. Comp., Dordrecht, 1986. MR0861408(87k:53126). Zbl 0605.53001. [2] A. Bejancu and H.R. Farran, Foliations and Geometric Structures, Springer, Berlin, 2006. MR2190039(2006j:53034). Zbl 1092.53021. [3] B.Y. Chen, Geometry of Submanifolds, Marcel Dekker, New York, 1973. MR0353212(50 #5697). Zbl 0262.53036. [4] E. Garcia-Rio, Y. Matsushita and R. Vazquez-Lorenzo, Paraquaternionic Kähler Manifolds, Rocky Mountain J. Math., 31 (2001), 237-260. MR1821379(2001k:53088). Zbl 0987.53020. [5] B.L. Reinhart, Foliated manifolds with bundlelike metrics, Annals Math., 69 (2) (1959), 119132. MR0107279(21 #6004). Zbl 0122.16604. [6] B.L. Reinhart, Di¤erential Geometry of Foliations, SpringerVerlag, Berlin, 1983. MR0705126(85i:53038). Zbl 0506.53018. 2000 Mathematics Subject Classication: 53C26, 53C12, 51H25.
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Alternate Webpage(s)	http://directory.umm.ac.id/Journals/Journal_of_mathematics/SMA/a09.pdf
Alternate Webpage(s)	http://emis.maths.tcd.ie/EMIS/journals/SMA/v01/a09.pdf
Alternate Webpage(s)	http://www.maths.tcd.ie/EMIS/journals/SMA/v01/a09.pdf
Language	English
Access Restriction	Open
Content Type	Text
Resource Type	Article

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