Advances in Complex Analysis and Applications最新文献

Solution Methods of Large Complex-Valued Nonlinear System of Equations 大型复值非线性方程组的求解方法

Advances in Complex Analysis and Applications Pub Date : 2020-08-13 DOI: 10.5772/intechopen.92741

R. Pires

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引用次数: 1

Extracting Coherent Structures in Near-Wall Turbulence Based on Wavelet Analysis 基于小波分析的近壁湍流相干结构提取

Advances in Complex Analysis and Applications Pub Date : 2020-07-21 DOI: 10.5772/intechopen.92015

P. Du, Hu Haibao, Xiao Huang

引用次数: 1

Integral Geometry and Cohomology in Field Theory on the Space-Time as Complex Riemannian Manifold 时空作为复黎曼流形的场论中的积分几何与上同调

Advances in Complex Analysis and Applications Pub Date : 2020-07-07 DOI: 10.5772/intechopen.92969

F. Bulnes

{"title":"Integral Geometry and Cohomology in Field Theory on the Space-Time as Complex Riemannian Manifold","authors":"F. Bulnes","doi":"10.5772/intechopen.92969","DOIUrl":"https://doi.org/10.5772/intechopen.92969","url":null,"abstract":"The study of the relationships between the integration invariants and the different classes of operators, as well as of functions inside the context of the integral geometry, establishes diverse homologies in the dual space of the functions. This is given in the class of cohomology of the integral operators that give solution to certain class of differential equations in field theory inside a holomorphic context. By this way, using a cohomological theory of appropriate operators that establish equivalences among cycles and cocycles of closed submanifolds, line bundles and contours can be obtained by a cohomology of general integrals, useful in the evaluation and measurement of fields, particles, and physical interactions of diverse nature that occurs in the space-time geometry and phenomena. Some of the results applied through this study are the obtaining of solutions through orbital integrals for the tensor of curvature R μν , of Einstein’s equations, and using the imbedding of cycles in a complex Riemannian manifold through the duality: line bundles with cohomological contours and closed submanifolds with cohomological functional. Concrete results also are obtained in the determination of Cauchy type integral for the reinterpretation of vector fields.","PeriodicalId":320188,"journal":{"name":"Advances in Complex Analysis and Applications","volume":"60 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-07-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115930235","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 1

Variable Exponent Spaces of Analytic Functions 解析函数的变指数空间

Advances in Complex Analysis and Applications Pub Date : 2020-05-25 DOI: 10.5772/intechopen.92617

Gerardo A. Chacón, Gerardo A. Chacón

引用次数: 0

Mathematical Fundamentals of a Diagnostic Method by Long Nonlinear Waves for the Structured Media 结构介质长非线性波诊断方法的数学基础

Advances in Complex Analysis and Applications Pub Date : 2020-03-12 DOI: 10.5772/INTECHOPEN.91462

V. O. Vakhnenko, D. Vengrovich, A. Michtchenko

引用次数: 0

Interference Pattern Representation on the Complex s-Plane 复s平面上干涉图样的表示

Advances in Complex Analysis and Applications Pub Date : 2019-10-09 DOI: 10.5772/intechopen.89491

José Trinidad Guillen Bonilla, Alex Guillen Bonilla, M. Ramirez, G. A. Gómez, Héctor Guillen Bonilla, María Susana Ruiz Palacio, Martín Javier Martínez Silva, Verónica María Bettancourt Rodriguez

引用次数: 0