Similar and self-similar null Cartan curves in Minkowski-Lorentzian spaces
نویسندگان
چکیده
In this paper, differential invariants of null Cartan curves are studied in (n+2) dimensional Lorentzian similarity geometry. The fundamental theorem for a curve geometry is investigated and the characterization all self-similar parameterized by de Sitter parameter Minkowski space-time given.
منابع مشابه
Smooth Self-Similar Curves
I present a technique for constructing self-similar curves from smooth base curves. The technique is similar to that used in Iterated Function Systems like the Koch curve, except that it does not require a piecewise linear path in order to induce a set of similarities. I explain the mathematical machinery behind the technique, describe a practical numerical approximation that can be implemented...
متن کاملSelf-similar fractals and arithmetic dynamics
The concept of self-similarity on subsets of algebraic varieties is defined by considering algebraic endomorphisms of the variety as `similarity' maps. Self-similar fractals are subsets of algebraic varieties which can be written as a finite and disjoint union of `similar' copies. Fractals provide a framework in which, one can unite some results and conjectures in Diophantine g...
متن کاملSelf-similar Inverse Semigroups and Smale Spaces
Self-similar inverse semigroups are defined using automata theory. Adjacency semigroups of s-resolved Markov partitions of Smale spaces are introduced. It is proved that a Smale space can be reconstructed from the adjacency semigroup of its Markov partition, using the notion of the limit solenoid of a contracting self-similar semigroup. The notions of the limit solenoid and a contracting semigr...
متن کاملمروری بر کتاب self-similar groups
خودسانی یا فرکتالی بودن پدیده ای مهم در طبیعت است که در بسیاری از وجوه تمدن جدید انعکاس یافته است. این پدیده علاوه بر هنر، در فیزیک، شیمی علوم پزشکی و علوم کامپیوتر نیز رخ می نماید. خودسانی در مباحث مختلفی از ریاضیات و مدلسازی ریاضی از جمله دستگاههای دینامیکی و آشوب، فرآیندهای تصادفی و فیزیک آماری، توپولوژی و هندسه فرکتالی نیز ظاهر می شود.
متن کاملHyperbolic spaces from self-similar group actions
Self-similar group actions (or self-similar groups) have proved to be interesting mathematical objects from the point of view of group theory and from the point of view of many other fields of mathematics (operator algebras, holomorphic dynamics, automata theory, etc). See the works [BGN02, GNS00, Gri00, Sid98, BG00, Nek02a], where different aspects of self-similar groups are studied. An import...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Communications Faculty of Sciences University of Ankara. Series A1: mathematics and statistics
سال: 2022
ISSN: ['1303-5991']
DOI: https://doi.org/10.31801/cfsuasmas.865100