On framed $f$-manifolds
نویسندگان
چکیده
منابع مشابه
A FRAMED f(3, 1)− STRUCTURE ON TANGENT MANIFOLDS
A tangent manifold is a pair (M, J) with J a tangent structure (J2 = 0, ker J = im J) on the manifold M . A systematic study of tangent manifolds was done by I. Vaisman in [5]. One denotes by HM any complement of im J := TV . Using the projections h and v on the two terms in the decomposition TM = HM ⊕TV one naturally defines an almost complex structure F on M . Adding to the pair (M, J) a Riem...
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We present a compared analysis of some properties of indefinite almost S-manifolds and indefinite S-manifolds. We give some characterizations in terms of the Levi-Civita connection and of the characteristic vector fields. We study the sectional and φ-sectional curvature of indefinite almost S-manifolds and state an expression of the curvature tensor field for the indefinite S-space forms. We an...
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For a fixed isotopy type K of unframed knots in S there are infinitely many isotopy classes of framed knots that correspond to K when we forget the framing. We show that the same fact is true for all the isotopy types of unframed knots in a closed oriented 3-manifold M , provided that M 6= (S × S)#M . On the other hand for any M = (S × S)#M ′ we construct examples of isotopy classes of unframed...
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In the last decade, contact, almost contact, paracontact cosymplectic, and conformal cosymplectic manifolds carrying κ > 1 structure vector fields ξ have been studied by many authors, e.g. [2], [7], [11], [15]. In the present paper we consider a (2m + 2)-dimensional Riemannian manifold carrying two structure vector fields ξ (r ∈ {2m+1, 2m+2}), a (1, 1)-tensor field Φ, and a structure 2 form Ω o...
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Some problems concerning to Liouville distribution and framed f -structures are studied on the normal bundle of the lifted Finsler foliation to its normal bundle. It is shown that the Liouville distribution of transversally Finsler foliations is an integrable one and some natural framed f(3, ε)structures of corank 2 exist on the normal bundle of the lifted Finsler foliation.
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ژورنال
عنوان ژورنال: Kodai Mathematical Journal
سال: 1966
ISSN: 0386-5991
DOI: 10.2996/kmj/1138845274