Results 31 to 40 of about 382 (182)
Paracontact semi-Riemannian submersions
Turkish Journal of Mathematics, 2013 In this paper, we first define the concept of paracontact semi-Riemannian submersions between almost paracontact metric manifolds, then we provide an example and show that the vertical and horizontal distributions of such submersions are invariant with respect to the almost paracontact structure of the total manifold.
Gunduzalp, Yilmaz, Sahin, Bayram
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Recent Developments on the First Chen Inequality in Differential Geometry
Mathematics, 2023 One of the most fundamental interests in submanifold theory is to establish simple relationships between the main extrinsic invariants and the main intrinsic invariants of submanifolds and find their applications.
Bang-Yen Chen, Gabriel-Eduard Vîlcu
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Anti-invariant Riemannian submersions from Kenmotsu manifolds onto Riemannian manifolds [PDF]
, 2015 The purpose of this paper is to study anti-invariant Riemannian submersions from Kenmotsu manifolds onto Riemannian manifolds. Several fundamental results in this respect are proved.
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SUBMERSION FROM SEMI-RIEMANNIAN MANIFOLDS ONTO LIGHTLIKE MANIFOLDS [PDF]
, 2010 In this paper, we introduce the idea of a lightlike submersion from a semi-Riemannian manifold onto a lightlike manifold, and give some examples. Then we define O'Neill's tensors for such submersions and investigate their main properties.
Sahin, Bayram, Gunduzalp, Yilmaz
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Certain curves along Riemannian submersions
Filomat, 2023 In this paper, when a given curve on the total manifold of a Riemannian submersion is transferred to the base manifold, the character of the corresponding curve is examined. First, the case of a Frenet curve on the total manifold being a Frenet curve on the base manifold along a Riemannian submersion is investigated.
Tukel, Gozde Ozkan +2 more
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Riemannian and Sub-Riemannian geodesic flow [PDF]
, 2016 peer reviewedWe show that the geodesic flows of a sub-Riemannian metric and that of a Riemannian extension commute if and only if the extended metric is parallel with respect to a certain connection.
Godoy Molina, Mauricio, GRONG, Erlend
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ON SLANT RIEMANNIAN SUBMERSIONS FOR COSYMPLECTIC MANIFOLDS [PDF]
Bulletin of the Korean Mathematical Society, 2014 In this paper we introduce slant Riemannian submersions from cosymplectic manifolds onto Riemannian manifolds. We obtain some results on slant Riemannian submersions of a cosymplectic manifolds. We also give examples and inequalities between the scalar curvature and squared mean curvature of fibres of such slant submersions according to characteristic ...
MURATHAN, CENGİZHAN, Erken, Irem Kupeli
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Anti-invariant Riemannian submersions from cosymplectic manifolds onto Riemannian manifolds [PDF]
, 2015 We introduce anti-invariant Riemannian submersions from cosymplectic manifolds onto Riemannian manifolds. We survey main results of anti-invariant Riemannian submersions defined on cosymplectic manifolds. We investigate necessary and sufficient condition
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Filomat, 2023 In this paper, we study a Golden Riemannian submersion between Golden Riemannian manifolds. Here, we investigate the geometric properties of such a submersion and obtain some results. Also, we study the relations between the Ricci curvatures of any fibre, base and target manifolds of Golden Riemannian submersion and using these relations ...
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Pointwise hemi-slant Riemannian submersions
Ukrains’kyi Matematychnyi Zhurnal, 2023 UDC 517.98 We introduce a new type of submersions, which is called <em>pointwise hemi-slant Riemannian submersions,</em> as a generalization of slant Riemannian submersions, hemi-slant submersions, and pointwise slant submersions from Kaehler manifolds onto Riemannian manifolds.
Akyol, Mehmet Akif, Sayar, Cem
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