Nullity conditions in paracontact geometry
نویسندگان
چکیده
منابع مشابه
Special connections in almost paracontact metric geometry
Two types of properties for linear connections (natural and almost paracontact metric) are discussed in almost paracontact metric geometry with respect to four linear connections: Levi-Civita, canonical (Zamkovoy), Golab and generalized dual. Their relationship is also analyzed with a special view towards their curvature. The particular case of an almost paracosymplectic manifold giv...
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Here, a Finsler manifold $(M,F)$ is considered with corresponding curvature tensor, regarded as $2$-forms on the bundle of non-zero tangent vectors. Certain subspaces of the tangent spaces of $M$ determined by the curvature are introduced and called $k$-nullity foliations of the curvature operator. It is shown that if the dimension of foliation is constant, then the distribution is involutive...
متن کاملspecial connections in almost paracontact metric geometry
two types of properties for linear connections (natural and almost paracontact metric) are discussed in almost paracontact metric geometry with respect to four linear connections: levi-civita, canonical (zamkovoy), golab and generalized dual. their relationship is also analyzed with a special view towards their curvature. the particular case of an almost paracosymplectic manifold giv...
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here, a finsler manifold $(m,f)$ is considered with corresponding curvature tensor, regarded as $2$-forms on the bundle of non-zero tangent vectors. certain subspaces of the tangent spaces of $m$ determined by the curvature are introduced and called $k$-nullity foliations of the curvature operator. it is shown that if the dimension of foliation is constant, then the distribution is involutive a...
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ژورنال
عنوان ژورنال: Differential Geometry and its Applications
سال: 2012
ISSN: 0926-2245
DOI: 10.1016/j.difgeo.2012.09.006