signature submanifolds for some equivalence problems
نویسندگان
چکیده
this article concerned on the study of signature submanifolds for curves under lie group actions se(2), sa(2) and for surfaces under se(3). signature submanifold is a regular submanifold which its coordinate components are di erential invariants of an associated manifold under lie group action, and therefore signature submanifold is a key for solving equivalence problems.
منابع مشابه
Signature submanifolds for some equivalence problems
This article concerned on the study of signature submanifolds for curves under Lie group actions SE(2), SA(2) and for surfaces under SE(3). Signature submanifold is a regular submanifold which its coordinate components are differential invariants of an associated manifold under Lie group action, and therefore signature submanifold is a key for solving equivalence problems.
متن کاملglobal results on some nonlinear partial differential equations for direct and inverse problems
در این رساله به بررسی رفتار جواب های رده ای از معادلات دیفرانسیل با مشتقات جزیی در دامنه های کراندار می پردازیم . این معادلات به فرم نیم-خطی و غیر خطی برای مسایل مستقیم و معکوس مورد مطالعه قرار می گیرند . به ویژه، تاثیر شرایط مختلف فیزیکی را در مساله، نظیر وجود موانع و منابع، پراکندگی و چسبندگی در معادلات موج و گرما بررسی می کنیم و به دنبال شرایطی می گردیم که متضمن وجود سراسری یا عدم وجود سراسر...
Computational Complexity of Some Equivalence-Checking Problems
This habilitation thesis gives an overview of five papers of the author in the area of verification, in particular, in the study of computational complexity of equivalence checking problems and related areas. The first of these papers, Sawa, Jančar: Equivalences on Finite-State Systems are PTIME-hard (2005), shows that deciding any relation between bisimulation equivalence (bisimilarity) and tr...
متن کاملLecture Notes on the Local Equivalence Problems For Real Submanifolds in Complex Spaces
§1. Global and Local Equivalence Problems There is a classical theorem in complex analysis, called the Riemann mapping theorem, which states that any simply connected domain in C is either holomorphically equivalent to C or to the unit disk. For more general domains in C, He-Schramm showed [HS] that if ∂D has countably many connected components, then D is holomorphically equivalent to a circle ...
متن کاملEquivalence of isotropic submanifolds and symmetry
The genesis of this paper lies in theoretical questions in geometrical diffraction theory where a central role is played by the systems of rays passing through a boundary of an obstacle ~aperture! ~cf. Refs. 1,2!. It is explained in Refs. 1,3,4 why the proper isotropic submanifolds of cotangent boundles ~phase spaces! do occur in geometrical diffraction and why the symmetry group of these objec...
متن کاملProblems of equivalence in some German and English constructions
The time has come when well-organized and thoroughly worked out transfer grammars should be developed. Such a grammar should be composed of formal statements equating the construction-types of the input language with those of the output language and indicating the appropriate transformations which must be made to produce the target language constructions. In connection with the problem of struc...
متن کاملمنابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
journal of linear and topological algebra (jlta)جلد ۳، شماره ۰۳، صفحات ۱۲۱-۱۳۰
میزبانی شده توسط پلتفرم ابری doprax.com
copyright © 2015-2023