PDF
ZENODO
Published
2026-02-03
Section
Articles
How to Cite
How to Cite
SIRTLAR OILASINING O‘RAMASI
Temirov Azizbek
“International school of finance technology and science” instituti o‘qituvchisi
Keywords: Sirtlar oilasi, sirt o‘ramasi, differensial geometriya, bir parametrli sirtlar oilasi, ikki parametrli sirtlar oilasi, diskriminant sirt, qaytish qirrasi, kanal sirt, egiluvchi sirt, Gauss egriligi, o‘rta egrilik, asosiy va ikkilamchi shakllar, urinma tekislik, normal vektor, xarakteristik chiziqlar.
Abstract
In recent years, the science of differential geometry has developed, and interest in its practical and theoretical directions is growing. In particular, the study of surfaces and their properties, including the study of the geometry of surface wrappings, has become one of the most relevant issues due to its direct connection with such disciplines as physics, engineering, and computer graphics. Surface wrappings are an important tool for describing the shape and state of surfaces, their representation and analysis in space. This area is widely used not only theoretically, but also in practice. This further increases the scientific and practical significance of the topic. The main purpose of this article is to deeply study the concept of surface wrappings, analyze their differential-geometric properties, and derive formulas for curvature, normal vectors, and other important elements for certain types of surface wrappings. The object of research is smooth surfaces in space and differential-geometric objects related to their wrappings.
The article studies the differential-geometric properties of some special types of surface wrappings. Their main and secondary forms, curvature components, and their interrelationships are determined. Also, an analysis of surface wrappings based on specific examples is given and new results are presented.
References
1. Narmanov A.Y. Differensial geometriya va topologiya. Toshkent, 2024.
2. Narmanov A.Y, Sharipov A.S, Aslonov J.O. Differensial geometriya va topologiya fanidan masalalar to‘plami. Toshkent, ”Университет”, 2014.
3. Залгаллер В.А. “Теория огибающих”, M.1975.
4. Sobirov M.A. va Yusupov A.E. “Differensial geometriya kursi”, “O‘qituvchi” nashriyoti 1965.
5. Погорелов A.B.“Дифференциальная геометрия”, Mосква 1974.
6. Болтянский В.Г. “Огибающая”, M., 1961.
7. https://www.lex.uz/ (O‘zbekiston Respublikasi Qonun hujjatlari
ma’lumotlari milliy bazasi)
