Results 71 to 80 of about 17,583 (186)
Local solvability of degenerate Monge-Ampere equations and applications to geometry
Electronic Journal of Differential Equations, 2007 We consider two natural problems arising in geometry which are equivalent to the local solvability of specific equations of Monge-Ampere type. These are: the problem of locally prescribed Gaussian curvature for surfaces in $mathbb{R}^{3}$, and the local
Marcus A. Khuri
doaj
Projective Vector Fields on Semi-Riemannian Manifolds
MathematicsThis paper explores the properties of projective vector fields on semi-Riemannian manifolds. The main result establishes that if a projective vector field P on such a manifold is also a conformal vector field with potential function ψ and the vector ...
Norah Alshehri, Mohammed Guediri
doaj +1 more source
Progressively Projected Newton's Method
Computer Graphics Forum, EarlyView.Abstract Newton's Method is widely used to find the solution of complex non‐linear simulation problems. To guarantee a descent direction, it is common practice to clamp the negative eigenvalues of each element Hessian prior to assembly—a strategy known as Projected Newton (PN)—but this perturbation often hinders convergence.
J. A. Fernández‐Fernández +2 more
wiley +1 more source
The Geometry of (p,q)-Harmonic Maps
MathematicsThis paper studies (p,q)-harmonic maps by unified geometric analytic methods. First, we deduce variation formulas of the (p,q)-energy functional. Second, we analyze weakly conformal and horizontally conformal (p,q)-harmonic maps and prove Liouville ...
Yan Wang, Kaige Jiang
doaj +1 more source
H-functional and Matsushima type decomposition theorem
, 2019 The H-functional characterizes K\"ahler-Ricci solitons as its critical points, and also plays an important role of the existence problem for K\"ahler-Einstein metrics. In this paper we prove the Hessian formula for the H-functional at its critical points,
Nakamura, Satoshi
core
Survey on differential estimators for 3d point clouds
Computer Graphics Forum, EarlyView.Abstract Recent advancements in 3D scanning technologies, including LiDAR and photogrammetry, have enabled the precise digital replication of real‐world objects. These methods are widely used in fields such as GIS, robotics, and cultural heritage. However, the point clouds generated by such scans are often noisy and unstructured, posing challenges for ...
Léo Arnal–Anger +4 more
wiley +1 more source
MathematicsThe framework of the research whose part of results are published in this work is the category of real vector bundles over finite dimensional differentiable manifolds. The objects of studies are gauge structures on these vector bundles. We are interested
Michel Nguiffo Boyom
doaj +1 more source
Hessian Tensor and Standard Static Space-times
, 2008 In this brief survey, we will remark the interaction among the Hessian tensor on a semi-Riemannian manifold and some of the several questions in Lorentzian (and also in semi-Riemannian) geometry where this 2-covariant tensor is involved.
Dobarro, Fernando, Unal, Bulent
core +2 more sources
Projective Hessian and Sasakian manifolds
, 2018 The Hessian geometry is the real analogue of the K hler one. Sasakian geometry is an odd-dimensional counterpart of the K hler geometry. In the paper, we study the connection between projective Hessian and Sasakian manifolds analogous to the one between Hessian and K hler manifolds.
openaire +2 more sources
Establishing Shape Correspondences: A Survey
Computer Graphics Forum, EarlyView.Abstract Shape correspondence between surfaces in 3D is a central problem in geometry processing, concerned with establishing meaningful relations between surfaces. While all correspondence problems share this goal, specific formulations can differ significantly: Downstream applications require certain properties that correspondences must satisfy ...
A. Heuschling, H. Meinhold, L. Kobbelt
wiley +1 more source