Let M be a compact irreducible Hermitian symmetric space and write M = G/K, with G the group of holomorphic isometries of M and K the stability group of the point of 0 ∈ M . We determine the maximal dimension of a complex projective space embedded in M as a totally geodesic submanifold. AMS Subject Classification: 14L35, 22F30, 20G05 Introduction Let M be a simply connected compact complex mani...

We describe a method for recovering the underlying parametrization of scattered data (m(i)) lying on a manifold M embedded in high-dimensional Euclidean space. The method, Hessian-based locally linear embedding, derives from a conceptual framework of local isometry in which the manifold M, viewed as a Riemannian submanifold of the ambient Euclidean Space R(n), is locally isometric to an open, c...

This work proposes the development of an embedded real-time fruit detection system for future automatic fruit harvesting. The proposed embedded system is based on an ARM Cortex-M4 (STM32F407VGT6) processor and an Omnivision OV7670 color camera. The future goal of this embedded vision system will be to control a robotized arm to automatically select and pick some fruit directly from the tree. Th...

let $r$ be a commutative ring with identity and $m$ be an$r$-module. let $fspec(m)$ denotes the collection of all prime fuzzysubmodules of $m$. in this regards some basic properties of zariskitopology on $fspec(m)$ are investigated. in particular, we provesome equivalent conditions for irreducible subsets of thistopological space and it is shown under certain conditions$fspec(m)$ is a $t_0-$spa...

background: prostate cancer (pca) is an important health problem in the aging male population in the world. it is the third most common cancer in the world. despite of its importance, relatively little is known about its etiology. sexually transmitted infections (sti) and urogenital pathogens such as mycoplasma and ureaplasma, have been proposed as a risk factor for prostate cancer development....

It is proved that given H ≥ 0 and an embedded compact orientable constant mean curvature H surface M included in the half space z ≥ 0, not everywhere tangent to z = 0 along its boundary ∂M = γ ⊂ {z = 0}, the inequality H ≤ (min κ) ( min √ 1 − (κg/κ) ) is satisfied, where κ and κg are the geodesic curvatures of γ on z = 0 and on the surface M , respectively, if and only if M is a spherical cap o...

LetM be a three-manifold (possibly with boundary). We will show that, for any positive integer γ, there exists an open nonempty set of metrics on M (in the C-topology on the space of metrics on M) for each of which there are compact embedded stable minimal surfaces of genus γ with arbitrarily large area. This extends a result of Colding and Minicozzi, who proved the case γ = 1.

Let C ⊂ Pr be a general curve of genus g embedded via a general linear series of degree d. The well-known Maximal Rank Conjecture asserts that the restriction maps H(OPr(m)) → H(OC(m)) are of maximal rank; if known, this conjecture would determine the Hilbert function of C. In this paper, we prove an analogous statement for the hyperplane sections of general curves. More specifically, if H ⊂ Pr...

Embedded technology and networking allow for the integration of physical objects with information injh”ium and augmentation of the physical m ’ m m e n t with information and comptingfiutctions. The concept of intelligent artifacts associated with mbots will be resbucftued to many di&” forms of intelligent and interactive artifacts and envhnments that rangejvm simple objects with a tagging ch@ ...