On one class of holonomy groups in pseudo-Riemannian geometry

We describe a new class of holonomy groups on pseudo-Riemannian manifolds. Namely, we prove the following theorem. Let g be a nondegenerate bilinear form on a vector space V, and L:V -> V a g-symmetric operator. Then the identity component of the centraliser of L in SO(g) is a holonomy group for a suitable Levi-Civita connection.Comment: (revised version

Realisation of holonomy algebras on pseudo-Riemannian manifolds by means of Manakov operators

In the present thesis we construct a new class of holonomy algebras in pseudo-Riemannian geometry. Starting from a smooth connected manifold M, we consider its (1;1)-tensor fields acting on the tangent spaces. We then prove that there exists a class of pseudo- Riemannian metrics g on M such that the (1;1)-tensor fields are g-self adjoint and their centralisers in the Lie algebra so(g) are holonomy algebras for the Levi-Civita connection of g. Our construction is elaborated with the aid of Manakov operators and holds for any signature of the metric g

Liquid-based cytology and its practicability in Bulgaria

PURPOSE: Our aim was to summarize the foreign and our own experience in screening the cervical cancer by using conventional Papanicolaou (PAP) smear and liquid-based cytology (LBC).MATERIAL AND METHODS: In the Department of Obstetrics and Gynecology, Medical University of Varna, we examined 100 patients and compared the results from LBC with those from conventional PAP smear concerning different criteria as well as to test LBC practicability in Bulgaria.RESULTS: There were significant advantages of LBC mainly due to the lower number of unsatisfactory results and higher specificity of low-grade squamous intraepithelial lesions (LSIL). The comparison with the results from foreign studies demonstrated the same tendencies and diagnostic values.CONCLUSION: Our investigation proved the benefits of LBC in screening the cervical cancer. A much broader application of this method in Bulgaria was recommended taking into consideration that it was rarely used at presence.Scripta Scientifica Medica 2013; 45(2): 66-69

MODERN METHODS AND POSSIBILITIES FOR DYNAMIC DIAGNOSTICS OF PULMONARY DISEASES

No abstrac

Using web scraping for real estate price analysis

In the present paper, a survey is being made of the areas, in which the use of Web scraping is necessary for adaptation to dynamic changes, demanding processing and generalizing of large volume of data from different web sources. An exemplary implementation for Web scraping is presented for price analysis of the real estate market. The technology that gives possibility of integration of the intended activities in development of the application has been reviewed. The overall procedure in the researching, development and realization of the proposed application can be used as a good practice in adaptation of the knowledge and skills of the graduating students for the requirements, dynamics and organization of the work in a software company as well as for the professional co-operation between the academic lecturers and representatives of the software business

On a new class of holonomy groups in pseudo-Riemannian geometry

On a new class of holonomy groups in pseudo-Riemannian geometr

SOME PROBLEMS OF THE TIMELY DIAGNOSIS, TREATMENT AND REHABILITATION OF PATIENTS WITH ALLERGIC BRONCHO-OBSTRUCTIVE DISEASES

No abstrac