Lightlike (Sub)Manifolds
Characteristic Lightlike Submanifolds of an Indefinite š® Manifold
... semi-Riemannian manifolds, it is interesting to study the geometry of lightlike submanifolds due to the fact that the intersection of normal vector bun- dle and the tangent bundle is nontrivial, making it ...
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Generalized Transversal Lightlike Submanifolds of Indefinite Sasakian Manifolds
... real lightlike submanifolds and contact screen CR-lightlike submanifolds 9 of indefinite Sasakian manifolds by study- ing the integrability of distributions and the geometry of leaves of ...
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Totally Umbilical Screen Transversal Lightlike Submanifolds of Semi Riemannian Product Manifolds
... on lightlike submanifolds and semi-Riemannian product manifolds needed for this pa- ...transversal lightlike submanifolds and obtain necessary and sufficient conditions for induced connec- tion ļ on ...
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On CR Lightlike Product of an Indefinite Kaehler Manifold
... Kaehler manifolds was initiated by Bejancu 1 and has been developed by 2ā5 and ...of lightlike submanifolds and hypersurfaces in mathematical physics, especially in relativity, make the geometry of ...
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Chen like inequalities on lightlike hypersurfaces of a Lorentzian manifold
... 22. Bejan, CL, Duggal, KL: Global lightlike manifolds and harmonicity. Kodai Math. J. 28, 131-145 (2005) 23. Duggal, KL, Sahin, B: Diļ¬erential Geometry of Lightlike Submanifolds. BirkhƤuser, Basel ...
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Algebraicity of Induced Riemannian Curvature Tensor on Lightlike Warped Product Manifolds
... product manifolds are considered in this paper. The geome- try of lightlike submanifolds is difficult to study since the normal vector bun- dle intersects with the tangent ...consider lightlike ...
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Screen conformal half lightlike submanifolds
... the lightlike submanifolds [6] are diļ¬erent since (contrary to the nondegen- erate cases) their normal vector bundle intersects with the tangent ...a lightlike submanifold. To deal with this anomaly, the ...
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On GCR Lightlike Product of Indefinite Cosymplectic Manifolds
... cosymplectic manifolds, we study mixed geodesic GCR-lightlike submanifolds of indefinite cosymplectic ...Sasakian manifolds to be a GCR- lightlike product, ...
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Lightlike Submanifolds of Indefinite Sasakian Manifolds
... of lightlike submanifolds of Sasakian manifolds, and study its ...of lightlike CR-submanifolds of KĀØahlerian manifolds [1], the contact CR-lightlike sub- manifolds are ...
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Geodesic Lightlike Submanifolds of Indefinite Sasakian Manifolds
... CR-lightlike sub- manifolds and screen CR-lightlike (SCR) submanifolds of indefinite Sasakian manifolds were studied by Duggal and Sahin in ...Sasakian manifolds has been de- ...
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Boehmians on manifolds
... character, there is no obvious way to construct Boehmians on manifolds. In this paper, we present a framework that seems to be well suited for Boehmians on manifolds. In- stead of deļ¬ning Boehmians locally ...
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Geometry of the Standard Model of Quantum Physics
... adapted manifolds on the real domain, Clifford algebras over tangent spaces of these manifolds, the real Lagrangian density in connection with the standard model of quantum ...
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Eigenvalue inequalities on Riemannian manifolds with a lower Ricci curvature bound
... Riemannian manifolds due to Gromov and Buser, and give an alternative unified approach to these ...Riemannian manifolds, showing, for example, that for geodesically convex compact domains in complete ...
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On the Surgery Theory for Filtered Manifolds
... Livesay filtration (see [3] and [17]). The notion of Browder-Livesay ļ¬ltration is very useful to investigate assembly maps, iterated Browder-Livesay invariants, surgery spectral sequences, natural maps in surgery theory, ...
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Type III diffeomorphisms of manifolds
... This thesis is about a classification of ergodic diffeomorphisms of manifolds introduced by Krieger [13]. We start with the definition which states that if f denotes a non-singular ergodic transformation of a ...
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Semi parabolic bifurcations in complex dimension two
... Graphical representation. In Figure 1, we saw slices of sets by planes. For an invariant picture, we may slice by unstable manifolds of periodic saddle points. If Q is a periodic point of saddle type, then the ...
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Biwave Maps into Manifolds
... which is a linear nonhomogeneous biwave equation, where kt, r is a function of t and r. Biwave maps are biharmonic maps on Minkowski spaces. It is interesting to study biwave maps since their equations are the ...
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Heterogeneous Riemannian Manifolds
... neighborhoods of two distinct points of M, contradicting the assumed heterogeneity of M. This verifies the hypothesis of Lemma 2.1 in 6, with the roles of M and M interchanged. Hence there exists an isometric immersion Ī¦ ...
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Unstable attractors in manifolds
... the same shape as M ā n ā . Since n ā Ć R is homeomorphic to M ā K, which is a generalized 2āmanifold (because it is a topological 2āmanifold), n ā is a generalized 1āmanifold itself (see [29, Theorem 6, p. 17], which ...
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About some infinite family of 2 bridge knots and 3 manifolds
... tangle or (2ā 1)/-tangle, according as is even or odd, respectively (see [14] for no- tation). In Section 4, we show that the manifold obtained in Section 2 is also obtained as a 2-fold branched covering over an ...
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