Given compact Lie groups H ⊂ G, we study the space of G-invariant metrics on G/H with nonnegative sectional curvature. For an intermediate subgroup K between H and G, we derive conditions under which enlarging the Lie algebra of K maintains nonnegative curvature on G/H . Such an enlarging is possible if (K, H) is a symmetric pair, which yields many new examples of nonnegatively curved homogeneo...

The ground field k is algebraically closed and of characteristic zero. Throughout, G is a connected and simply connected semisimple algebraic group, g is its Lie algebra, and Φ is the Cartan–Killing form on g; l = rk g. Int g (resp. Aut g) is the group of inner (resp. all) automorphisms of g; N is the nilpotent cone in g. For x ∈ g, z(x) is the centraliser of x in g. Let g = ⊕i∈Zmgi be a period...

Upon starvation for glucose or any other core nutrient, yeast cells exit from the mitotic cell cycle and acquire a set of G0-specific characteristics to ensure long-term survival. It is not well understood whether or how cell cycle progression is coordinated with the acquisition of different G0-related features during the transition to stationary phase (SP). Here, we identify the yeast GSK-3 ho...

Mouse 3T3 cells transformed by a conditional mutant of Rous sarcoma virus (LA90) can assume either a normal or a transformed phenotype, depending on the temperature of cultivation. These cells (LA90) were arrested at the G0/G1 phase of the cell cycle by starvation for serum growth factors at the nonpermissive temperature (39 degrees C). Release from the G0/G1 phase by serum growth factors resul...

Purpose: Contrast sensitivity, the ability to distinguish relative difference in luminance of an object from its surrounding or adjacent objects, is a useful measure visual function. In granular corneal dystrophy type 2 (GCD2), opacity stroma causes deterioration We compared contrast sensitivity GCD2 patients before and after phototherapeutic keratectomy (PTK) evaluate perioperative function th...

Lasserre [32] proved that for every compact set K⊂Rn and even number d there exists a unique homogeneous polynomial g0 of degree with K⊂G1(g0)={x∈Rn:g0(x)≤1} minimizing |G1(g)| among all such polynomials g fulfilling the condition K⊂G1(g). This result extends notion Löwner ellipsoid, not only from convex bodies to arbitrary sets (which was immediate if d=2 by taking hulls), but also ellipsoids ...

This study endeavour assesses agromorphological likeness between initial introductions and regenerated accessions at the International Coconut Genebank for Africa Indian Ocean (ICG-AIO) based in C?te d’Ivoire. Ten couples of parental (G0) (G1) Tall coconut palms were analyzed using Principal Component Analysis (PCA) Multiple Variance (MANOVA) from 26 characters. The main results showed a relati...

In this paper, we prove that on every Finsler n-sphere (S, F ) with reversibility λ satisfying F 2 < ( λ )g0 and l(S , F ) ≥ π(1 + 1 λ ), there always exist at least n prime closed geodesics without self-intersections, where g0 is the standard Riemannian metric on S n with constant curvature 1 and l(S, F ) is the length of a shortest geodesic loop on (S, F ). We also study the stability of thes...