Matrix theory is one of the most fundamental tools of mathematics and science, and a
number of classical books on matrix analysis have been written to explore this theory. As a …

We prove a rigidity result in the sphere which allows us to generalize a result about smooth
convex hypersurfaces in the sphere by Do Carmo-Warner to convex $ C^ 2$-hypersurfaces …

This chapter concerns the geometry of convex bodies on the d-dimensional sphere S d. We
concentrate on the results based on the notion of width of a convex body C⊂ S d …

In this paper some concepts and techniques of Mathematical Programming are extended in
an intrinsic way from the Euclidean space to the sphere. In particular, the notion of convex …

The projection onto the intersection of sets generally does not allow for a closed form even
when the individual projection operators have explicit descriptions. In this work, we …

We consider the smooth inverse mean curvature flow of strictly convex hypersurfaces with
boundary embedded in R^ n+ 1, R n+ 1, which are perpendicular to the unit sphere from the …

Driven by a wide range of applications, several principal subspace estimation problems
have been studied individually under different structural constraints. This paper presents a …

Hermite–Hadamard and Ostrowski Type Inequalities on Hemispheres Page 1 Mediterr. J. Math.
13 (2016), 4253–4263 DOI 10.1007/s00009-016-0743-3 1660-5446/16/064253-11 published …

This writeup describes ongoing work on designing and testing a certain family of
correspondences between compact metric spaces that we call\emph {embedding-projection …

We extend some results of nonsmooth analysis from the Euclidean context to the
Riemannian setting. Particularly, we discuss the concepts and some properties, such as the …