A manifold with a smooth action of a Lie group G is called G-manifold. In this paper we consider a complete Riemannian manifold M with the action of a closed and connected Lie subgroup G of the isometries. The dimension of the orbit space is called the cohomogeneity of the action. Manifolds having actions of cohomogeneity zero are called homogeneous. A classic theorem about Riemannian manifolds...

equality of -curvatures of the berwald and cartan connections leads to a new class of finsler metrics, so-called bc-generalized landsberg metrics. here, we prove that every bc-generalized landsberg metric of scalar flag curvature with dimension greater than two is of constant flag curvature.

Carbon nanotubes have an important role in reinforcing nanocomposits. Many experimental observations have shown that in the most nanostructures such as nanocomposites, carbon nanotubes (CNTs) are often characterized by a certain degree of waviness along their axial direction. In the present paper, the effects of initial curvature, influence of surrounding medium that is modeled as Winkler elast...

In recent decades, water erosion potential has been recognized as a severe threat against soil sustainability and resources. The present study was conducted to investigate the relation between geomorphometric parameters type simulate in Emamzadeh watershed located northeast of Khuzestan Province. primary secondary geomorphic parameters, including slope, plan curvature, profile flow length, accu...

Groundwater potential delineation in the Akka basin, southwest Morocco, has been determined through combination of geospatial techniques and geological data. The geometric average expected value are two multi-criteria approaches used to integrate a set factors–data for which weights each factor assigned using fuzzy logic function, transforms values factors influencing groundwater presence range...

Losses of large volumes soil through gully formation lead to serious environmental, societal, and economic problems for human societies. This study establishes a framework based on an artificial intelligence approach investigate the impact geo-environmental topo-hydrological factors occurrences in Biram region, Iran. The maximum entropy, random forest, boosted regression trees machine-learning ...

In industrial processing, workpiece quality and processing time have recently become important issues. To improve the machining accuracy reduce cutting time, feed rate will a significant impact. Therefore, how to plan dynamic is very important. this study, fuzzy control system for scheduling based on curvature variation proposed. The proposed implemented in actual cutting, verify data an optica...

Due to the high cost of experimental analyses, researchers used atomistic modeling methods for predicting the mechanical behavior of the materials in the fields of nanotechnology. In the pre-sent study the Self-Consistent Charge Density Functional Tight-Binding (SCC-DFTB) was used to calculate Young's moduli and average potential energy of the straight and curved graphenes with different curvat...

in this paper, we study a special class of generalized douglas-weyl metrics whose douglas curvature is constant along any finslerian geodesic. we prove that for every landsberg metric in this class of finsler metrics, ? = 0 if and only if h = 0. then we show that every finsler metric of non-zero isotropic flag curvature in this class of metrics is a riemannian if and only if ? = 0.