On non-compact Riemannian manifolds, we construct distance-like functions with derivatives controlled up to some order k assuming bounds on the growth of curvature ? 2 and decay injectivity radius. This construction extends previously known results in various directions, permitting obtain consequences which are (in a sense) sharp. As first main application, give refined conditions guaranteeing ...

The Symmetric Tensor Approximation problem (STA) consists of approximating a symmetric tensor or homogeneous polynomial by linear combination rank-1 tensors powers forms low rank. We present two new Riemannian Newton-type methods for rank approximation with complex coefficients. first method uses the parametrization set at most r weights and unit vectors. Exploiting properties apolar product on...

A Koszul–Vinberg manifold is a M endowed with pair $$(\nabla ,h)$$ where $$\nabla $$ flat connection and h symmetric bivector field satisfying generalized Codazzi equation. The geometry of such manifolds could be seen as type bridge between Poisson pseudo-Riemannian geometry, has been highlighted in our previous article [Contravariant Pseudo-Hessian their associated structures. Differential Geo...

In this paper, we present an edge detection method based on wavelet transform and Hessian matrix of image at each pixel. Many methods which based on wavelet transform, use wavelet transform to approximate the gradient of image and detect edges by searching the modulus maximum of gradient vectors. In our scheme, we use wavelet transform to approximate Hessian matrix of image at each pixel, too. ...

This paper presents low cycle fatigue (LCF) life prediction of a coated and uncoated exhaust manifolds. First Solidworks software was used to model the exhaust manifolds. A thermal barrier coating system was applied on the tubes c of the exhaust manifolds, consists of two-layer systems: a ceramic top coat (TC), made of yttria stabilized zirconia (YSZ), ZrO2-8%Y2O3 and also a metallic bond coat ...