A note on the structure of prescribed gradient–like domains of non–integrable vector fields
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DOI: 10.1002/mma.7488
Abstract: Given a geometric structure on ℝn with n=2m (e.g., Euclidean, symplectic, Minkowski, and pseudo‐Euclidean), we analyze the set of points inside the domain of definition of an arbitrary given C1 vector field, where the value… read more here.
Keywords: gradient like; vector field; vector fields; structure ... See more keywords
m-Quasi-Einstein Metrics Satisfying Certain Conditions on the Potential Vector Field
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DOI: 10.1007/s00009-020-01558-8
Abstract: In this paper we study Riemannian manifolds $$(M^n, g)$$ admitting an m-quasi-Einstein metric with V as its potential vector field. We derive an integral formula for compact m-quasi-Einstein manifolds and prove that the vector field… read more here.
Keywords: vector field; vector; potential vector; quasi einstein ... See more keywords
On Concircular Transformations in Finsler Geometry
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DOI: 10.1007/s00025-019-1088-6
Abstract: A geodesic circle in Finsler geometry is a natural extension of that in a Euclidean space. In this paper, we apply Lie derivatives and the Cartan $Y$-connection to study geodesic circles and (infinitesimal) concircular transformations… read more here.
Keywords: finsler geometry; concircular transformations; transformations finsler; geometry ... See more keywords
A Global Geometric Decomposition of Vector Fields and Applications to Topological Conjugacy
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DOI: 10.1007/s10440-019-00258-0
Abstract: We give a global geometric decomposition of continuously differentiable vector fields on R n $\mathbb{R}^{n}$ . More precisely, given a vector field of class C 1 $\mathcal{C}^{1}$ on R n $\mathbb{R}^{n}$ , and a geometric… read more here.
Keywords: vector; vector field; vector fields; decomposition ... See more keywords
Ricci solitons on Riemannian manifolds admitting certain vector field
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DOI: 10.1007/s11587-021-00622-z
Abstract: In this paper, we initiate the study of impact of the existence of a unit vector $$\nu $$ , called a concurrent-recurrent vector field, on the geometry of a Riemannian manifold. Some examples of these… read more here.
Keywords: ricci; vector field; riemannian manifolds; concurrent recurrent ... See more keywords
Singularly Perturbed Vector Field Method (SPVF) Applied to Combustion of Monodisperse Fuel Spray
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DOI: 10.1007/s12591-017-0373-7
Abstract: In this paper we present the concept of singularly perturbed vector field (SPVF) method, and its application to thermal explosion of diesel spray combustion. Given a system of governing equations, which consist of hidden Multi-scale… read more here.
Keywords: vector field; singularly perturbed; spvf applied; method ... See more keywords
Generalized weakly Ricci-symmetric (CS)4-spacetimes
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DOI: 10.1016/j.geomphys.2018.05.029
Abstract: Abstract ( C S ) 4 -spacetimes with Einstein field equations under some curvature restriction named generalized weakly Ricci-symmetry have been studied. We have proved that if the characteristic vector field ξ of a generalized… read more here.
Keywords: ricci symmetric; generalized weakly; weakly ricci; vector field ... See more keywords
Classification of almost Yamabe solitons in Euclidean spaces
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DOI: 10.1016/j.geomphys.2018.10.016
Abstract: In this paper, we completely classify almost Yamabe solitons on hypersurfaces in Euclidean spaces arisen from the position vector field. Some results of almost Yamabe solitons with a concurrent vector field and almost Yamabe solitons… read more here.
Keywords: classification almost; vector field; yamabe solitons; solitons euclidean ... See more keywords
The problem of reliable design of vector-field path following in the presence of uncertain course dynamics
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DOI: 10.1016/j.ifacol.2020.12.2409
Abstract: Abstract Reliable guidance of fixed-wing Unmanned Aerial Vehicles (UAVs) is challenging, as their high maneuverability exposes them to several dynamical changes and parametric uncertainties. Reliability of state-of-the-art guidance methods is often at stake, as these… read more here.
Keywords: course; vector field; course dynamics; uncertain course ... See more keywords
Darboux polynomials and global phase portraits for the D2 vector field
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DOI: 10.1016/j.jmaa.2018.12.043
Abstract: We study a vector field of R^3 equivariant under the D_2 symmetry group, called "the D_2 field" in the literature. We construct the complete list of Darboux polynomials for it, solving the partial differential equation… read more here.
Keywords: vector field; field; polynomials global; global phase ... See more keywords
Modelling white matter in gyral blades as a continuous vector field
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DOI: 10.1016/j.neuroimage.2020.117693
Abstract: Many brain imaging studies aim to measure structural connectivity with diffusion tractography. However, biases in tractography data, particularly near the boundary between white matter and cortical grey matter can limit the accuracy of such studies.… read more here.
Keywords: tractography; matter; gyral blades; vector field ... See more keywords