We analyze the structure of Higgs potential in gauge-Higgs unification with a flat extra dimension. As concrete model, we first consider cases where Standard Model doublet is embedded into higher-dimensional SU(3)w gauge multiplet five-dimensional Lorentz symmetry relaxed. In this model violation, deviation resulting triple boson coupling from its SM prediction shown to be less than 10% when co...

We prove that over a commutative noetherian ring the three approaches to introducing depth for complexes: via Koszul homology, via Ext modules, and via local cohomology, all yield the same invariant. Using this result, we establish a far reaching generalization of the classical AuslanderBuchsbaum formula for the depth of finitely generated modules of finite projective dimension. We extend also ...

Astrophysical bounds severely limit the possibility of observing collider signals of gravity with less than 3 flat extra dimensions. However, small distortions of the compactified space can lift the masses of the lightest graviton excitations, evading astrophysical bounds without affecting collider signals of quantum gravity. Following this procedure we reconsider theories with one large extra ...

We look for and analyze in some details some exact solutions of Einstein-Maxwell-dilaton gravity with one or two Liouville-type dilaton potential(s) in an arbitrary dimension. Such a theory could be obtained by dimensionally reducing Einstein-Maxwell theory with a cosmological constant to a lower dimension. These (neutral/magnetic/electric charged) solutions can have a (two) black hole horizon(...

For this, we obtained a fractal dimension of the proximal convoluted tubuli in the dog kidney by mean box-counting method. The fractal value we obtained is a flat dimension, and it is different than the line fractal dimension of the dog kidney arterial pattern, which was previously calculated by us (Gil et al., 2006). Thus, from optical microscopy images, we are able to obtain a single quantita...

We give global restrictions on the possible boundaries of compact, orientable, locally conformally flat manifolds of dimension 4k in terms of integrality of eta invariants.

We extend Witten’s spinor proof of the positive mass theorem to large classes of complete asymptotically flat non-spin manifolds, including all manifolds of dimension less than or equal to 11 and all manifolds of dimension n less than 26 which admit codimension 3 immersions into Euclidean space.

A ring is called n-perfect (n ≥ 0), if every flat module has projective dimension less or equal than n. In this paper, we show that the n-perfectness relate, via homological approach, some homological dimension of rings. We study n-perfectness in some known ring constructions. Finally, several examples of n-perfect rings satisfying special conditions are given.

We solve the σ2-Yamabe problem for a non locally conformally flat manifold of dimension n > 8. Résumé : On résout le problème de σ2-Yamabe pour des variétés riemanniennes compactes sans bord non localement conformément plates de dimension n > 8. Dedicated to Professor W. Y. Ding on the occasion of his 60th birthday