Disturbance Dynamics and Its Effects on Carbon in Human-Impacted Mountain Forests in Northwestern Yunnan, China. [PDF]
Ecol EvolIdentifying and quantifying natural and anthropogenic disturbances at fine spatial scales is critical to assess the role of forests in climate change mitigation. Using tree rings, fire scars, satellite imagery, official records, and interviews, we reconstructed historical disturbances and identified fires, logging events, landslides, and icy ...
Cheng Z, Aakala T, Ji C, Larjavaara M.
europepmc +2 more sources
An Application of the Moving Frame Method to Integral Geometry in the Heisenberg Group [PDF]
, 2017 We show the fundamental theorems of curves and surfaces in the 3-dimensional Heisenberg group and find a complete set of invariants for curves and surfaces respectively. The proofs are based on Cartan's method of moving frames and Lie group theory. As an
Chiu, Hung-Lin +2 more
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Generalized Ricci Curvature Bounds for Three Dimensional Contact Subriemannian manifolds [PDF]
, 2014 Measure contraction property is one of the possible generalizations of Ricci curvature bound to more general metric measure spaces. In this paper, we discover sufficient conditions for a three dimensional contact subriemannian manifold to satisfy this ...
A Agrachev +37 more
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Curves of constant breadth according to Darboux frame
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2017 In this paper, we investigate constant breadth curves on a surface according to Darboux frame and give some characterizations of these curves.
ALTUNKAYA, Bülent +1 more
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On the Timelike Sweeping Surfaces and Singularities in Minkowski 3-Space E13
Abstract and Applied Analysis, 2022 The Bishop frame or rotation minimizing frame (RMF) is an alternative approach to define a moving frame that is well defined even when the curve has vanished second derivative, and it has been widely used in the areas of computer graphics, engineering ...
Nadia Alluhaibi +2 more
doaj +1 more source
On the Darboux vector of a new fractional frame
Journal of Applied Mathematics and Computational MechanicsAykut Toplama, Mustafa Dede
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Slow invariant manifolds as curvature of the flow of dynamical systems [PDF]
, 2014 Considering trajectory curves, integral of n-dimensional dynamical systems, within the framework of Differential Geometry as curves in Euclidean n-space, it will be established in this article that the curvature of the flow, i.e.
Chua, Leon +2 more
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Numerical Solution of Differential Equations of Elastic Curves in 3-dimensional Anti-de Sitter Space [PDF]
Sahand Communications in Mathematical Analysis, 2023 In this paper, we aim to extend the Darboux frame field into 3-dimensional Anti-de Sitter space and obtain two cases for this extension by considering a parameterized curve on a hypersurface; then we carry out the Euler-Lagrange equations and derive ...
Samira Latifi +2 more
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Darboux Frame of a Curve Lying on a Lightlike Surface
Mathematical Sciences and Applications E-Notes, 2016 In this study, the Darboux frame is given for a curve lying on the lightlike surface of three dimensional Minkowski space. Moreover, known curvatures of the curve are obtained according to the Darboux frame and relationships between these curvatures are acquired.
TOPBAŞ, E. Selcen Yakıcı +3 more
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Spinor Darboux equations of curves in Euclidean 3-space [PDF]
Mathematica Moravica, 2015 In this paper, the spinor formulation of Darboux frame on an oriented surface is given. Also, the relation between spinor formulation of Frenet frame and Darboux frame is obtained.
Kisi Ilim, Tosun Murat
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