The proposed metric is derived from a well-chosen Riemannian quotientgeometry that generalizes the reductive geometry of the positive cone and the associated naturalmetric. The resulting Riemannian space has strong geometrical properties: it is geodesically com-plete, and the metric is invariant with ...
Applications to Riemannian Submersions Nearly Kähler Manifolds and Nearly KählerS6(1) δ(2)-Ideal Immersions Readership:Graduate and PhD students in differential geometry and related fields; researchers in differential geometry and related fields; theoretical physicists....
This unique monograph discusses the interaction between Riemannian geometry, convex programming, numerical analysis, dynamical systems and mathematical modelling. The book is the first account of the development of this subject as it emerged at the beginning of the 'seventies. A unified theory of ...
(2019) investigated the cosmological and observational limitations of f(Q) theory and showed that the accelerating expansion is an intrinsic property of the geometry of the universe. Mandal et al. (2020b) examined the energy conditions (ECs) and limited the model parameters to the current values...
3. Finite dimensional geometry 3.1. The finite dimensional geometrical objects Let P ¼ f0 ¼ s0os1o?osn ¼ 1g be a partition of I ¼ ½0; 1: We denote sÀ ¼ maxfsipsg and sþ ¼ minfsi > sg and if f is a function, Dif ¼ f ðsiþ1Þ À f ð...
Symplectic Reduction and the Homogeneous Complex Monge–Ampère Equation A Riemannian manifold ( $mathcal{M}^n $ n , g) is said to be the center of thecomplex manifold $mathcal{X}^n $ n if $mathcal{M}$ is the zero s... RM Aguilar - 《Annals of Global Analysis & Geometry》 被引...
We will show that the distortion that appears near the boundary of a flat image can play a significant role in the quantitative analysis of the vascular structure and its curvature. As the retina itself is not flat, we should include the spherical geometry both in image processing and in ...
The geometrical diffraction theory, in the sense of Keller, is here reconsidered as an obstacle problem in the Riemannian geometry. The first result is the proof of the existence and the analysis of the main properties of the "diffracted rays", which follow from thenon-uniqueness of the ...
The geometrical diffraction theory, in the sense of Keller, is here reconsidered as an obstacle problem in the Riemannian geometry. The first result is the proof of the existence and the analysis of the main properties of the "diffracted rays", which follow from the non-uniqueness of the ...
The present paper analyses the differences between generalised cubic de Casteljau curves and Riemannian cubics. We also modify the generalised cubic de Casteljau algorithm to yield curves that are much closer to Riemannian cubics. In this way the elegant geometry of the de Casteljau algorithm is ...