[PDF] Top 20 Space time manifolds and contact structures

... maximal integral curves of the regular contact vector On the topology of such spacetlmes, we know that Open sets of the form l+p N l-q for any p,q of any spacetlme N form a basis of a to[r] ... See full document

... product manifolds and occur naturally, ...these manifolds, one may realize that space time around a massive star or a black hole can be modeled on a warped product manifolds for ... See full document

... regular contact manifold with structure tensors (α, Z, J, g) is Sasakian if and only if the space of orbits of Z is a Kähler manifold with projected tensors ...K-contact structures which are ... See full document

... no contact Riemannian structures of constant curvature unless the constant is 1 and in which case the structure is ...symmetric contact Riemann- ian manifold is either flat or is Sasakian and of ... See full document

... Levy proven that a second-order symmetric parallel nonsingular tensor on a space of constant curvature is a constant multiple of the metric tensor 11. On the other hand, Sharma proven that there is no nonzero ... See full document

... This appealing idea suggests that one can construct a collection of Lax pairs ( U (I ) , V (J ) ), where I , J are multiindices, which could be organised in a multidimensional lattice, hence pro- ducing multidimensional ... See full document

... some time before the structure of the list adapts to the access distribution and the rule reveals its best performance, provided th a t the access probabilities do not change with time (see Figure ... See full document

... The th e o re tic a l aspects of this thesis deal with the extension o f the Lie algeb raic results o f Engel and Lie on n ilpoten t and solvable Lie algebras, resp ective ly, by the introduction of symplectic ... See full document

... hand, contact conformal curvature tensor field was introduced and defined by Jeong et ...fibration. Contact conformal curvature tensor has also been studied in [10] and ... See full document

... vanishing contact conformal curvature tensor field is of constant  -homothetic sectional curvature [ r  n  3 n  1   ] / n n  1  ...a contact metric manifold with vanishing contact conformal ... See full document

... Let Ᏸ be the contact distribution of ˜ M, defined by the equation η = 0. The study of the integral submanifolds of Ᏸ is very difficult for, at least, three reasons: (a) their abundance (see, e.g., [1, 5, 8]), (b) the ... See full document

... Therefore we may say that all connection forms of the pseudo-Sasaklan manifold under consideration are ntt’a ’eZatoa of m,aganoe for the vector field UU... he volume elemet of.[r] ... See full document

... It has been shown in this paper that for an invariant submanifold of an N(κ)- contact met- ric manifold is totally geodesic condition is equivalent to parallel or pseudo-parallel or semi- parallelity of the ... See full document

... Computational mechanics tackles nowadays large models involving huge amount of data to provide fine description of physics or accurate forecasts. For that purpose, several and various numerical methods have to be taken ... See full document

... considered manifolds In this section we determine some geometric characteristics of the manifolds (L, G, H) considered in the previous section and we investigate the corresponding geometric properties in ... See full document

... integrable structures are characterized by the fact that the zero-curvature representation of the NLEE can be realized by two Hamiltonian formulations stemming from two distinct choices of the configura- tion ... See full document

... a contact metric structure of M ...normal contact structure, where N  is the Nijenhuis tensor field of  ...normal contact metric manifold is called a Sasakian manifold for which we have ... See full document

... In [2], we give an example of transversely affine foliation which is linearly deformable into contact structures. Here, we will prove the following generalization of this example. Proposition 2.4. On a three ... See full document

... Then κ ≡ 0. If g denotes the left-invariant metric, it is clearly bundle-like with respect to the flow on M induced by V. Because the metric is bundle-like, the flow F induced by V admits a holonomy invariant transverse ... See full document

... of contact structures on simply-connected 5-manifolds (corresponding to the botany ...which contact structures on the same manifold can be “equivalent”: contact structures ... See full document