In the present paper, we study some notes on Berger type deformed Sasaki metric in cotangent bundle T∗MT∗M over an anti-paraKähler manifold (M,φ,g)(M,φ,g). We characterize geodesic properties for this metric. Next also construct almost anti-paraHermitian structures and search conditions these to be quasi-anti-paraKähler with respect

With the increasing importance of fiber tracking in diffusion tensor images for clinical needs, there has been a growing demand for an objective mathematical framework to perform quantitative analysis of white matter fiber bundles incorporating their underlying physical significance. This article presents such a novel mathematical framework that facilitates mathematical operations between tract...

The Douady space of compact subvarieties a Kähler manifold is equipped with the Weil–Petersson current, which everywhere positive local continuous potentials, and class C ∞ when restricted to locus smooth fibers. There Quillen metric known exist, whose Chern form equal form. In algebraic case, we show that can be extended determinant line bundle as singular hermitian metric. On other hand in su...

— Let M be a Riemannian 4-manifold. The associated twistor space is a bundle whose total space Z admits a natural metric. The aim of this article is to study properties of complex structures on Z which are compatible with the fibration and the metric. The results obtained enable us to translate some metric properties on M (scalar flat, scalar-flat Kähler...) in terms of complex properties of it...

on a finsler manifold, we define conformal vector fields and their complete lifts and prove that incertain conditions they are homothetic.

The aim of this study is to address a new feature extraction method in the area of the heart arrhythmia classification based on a metric with simple mathematical calculation called Curve-Length Method (CLM). In the presented method, curve length of the under study excerpted segment of signal is considered as an informative feature in which the effect of important geometric parameters of the ori...

A complex Finsler metric is an upper semicontinuous function F : T 1,0 M → R + defined on the holomorphic tangent bundle of a complex Finsler manifold M , with the property that F (p; ζv) = |ζ|F (p; v) for any (p; v) ∈ T 1,0 M and ζ ∈ C. Complex Finsler metrics do occur naturally in function theory of several variables. The Kobayashi metric introduced in 1967 ([K1]) and its companion the Carath...

This paper presents a methodology for glaucoma detection based on measuring displacements of blood vessels within the optic disc (vascular bundle) in human retinal images. The method consists of segmenting the region of the vascular bundle in an optic disc to set a reference point in the temporal side of the cup, determining the position of the centroids of the superior, inferior, and nasal vas...

We review the theory of quaternionic Kähler and hyperkähler structures. Then we consider the tangent bundle of a Riemannian manifold M with a metric connection D (with torsion) and with its well estabilished canonical complex structure. With an extra almost Hermitian structure on M it is possible to find a quaternionic Hermitian structure on TM , which is quaternionic Kähler if, and only if, D ...

Abstract The first part of this paper is a generalization the Feix–Kaledin theorem on existence hyperkähler metric neighborhood zero section cotangent bundle Kähler manifold. We show that problem constructing structure complex Lagrangian submanifold in holomorphic symplectic manifold reduces to certain deformations structures. recovered from twisted bundle. then every groupoid over compact Pois...