Related papers: Some new theorems on Pentagon and Pentagram

In this paper, we investigate the configuration theorems of Desargues and Pappus in a synthetic geometric way. We provide a bridge between the two configurations with a third one that can be considered a specification for both. We do not…

In this short note we give counterexamples to several results related to extension theorems published recently.

We discuss solutions of several questions concerning the geometry of conformal planes.

We present a new mechanism for baryogenesis, which links the baryon asymmetry of the universe to the dark matter density. The mechanism arises naturally in the Pentagon model of TeV scale physics. In that context, it forces a re-evaluation…

Analogues of Kolmogorov comparison theorems and some of their applications were established.

We shortly review the state of art and perspectives of Extended Theories of Gravity.

Klyachko and coworkers consider an orthogonality graph in the form of a pentagram, and in this way derive a Kochen-Specker inequality for spin 1 systems. In some low-dimensional situations Hilbert spaces are naturally organised, by a…

It gives some new forms of General Neron Desingularization and new applications.

We review some aspects of theories with compact extra dimensions. We consider the motivation and the theoretical basis of Large, Universal and Warped Extra Dimensions. We focus on those aspects that are potentially relevant in the…

We highlight recent theoretical and observational progress in several areas of neutron star astrophysics, and discuss the prospect for advances in the next decade.

As one type of incidence theory, the geometry of pentagram map seems quite classical at first. However, this is an excellent example of such a classical idea developed into a marvellous insight by some modern approach. We introduce an…

We introduce and study properties of certain new multifunctional harmonic spaces in the upper halfspace.We prove several sharp embedding theorems for such multifunctional spaces,these results are new even in the case of a single function.

Recent developments in Seiberg-Witten theory and relations with Complex Geometry.

This is to present a previously overlooked q-analog of the five-term dilogarithm relation.

We summarize recent theoretical developments in the field of radiative and semileptonic penguin decays.

This paper gives an introduction to some results on monodromy groupoids and the monodromy principle, and then develops the notion of monodromy groupoid for group groupoids.

We prove several new Bertini theorems over arbitrary fields and discrete valuation rings.

We expand upon some topics reviewed and sketched in a book to appear with more details, embellishments, and some new material of a speculative nature.

Mermin's simple "pentagram" proof of the Kochen-Specker theorem is examined from various perspectives. We emphasise the many mathematical structures intimately related to Kochen-Specker proofs, ranging through functional analysis, sheaf…

We give new examples of terminal and log canonical singularities.