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Geodesic orbit Randers metrics on spheres

期刊: ADVANCES IN GEOMETRY, 2021; 21 (2)

Studying geodesic orbit Randers metrics on spheres, we obtain a complete classification of such metrics. Our method relies upon the classification of ......

Tetrahedral cages for unit discs

期刊: ADVANCES IN GEOMETRY, 2021; 21 (3)

A cage is the 1-skeleton of a convex polytope in R-3. A cage is said to hold a set if the set cannot be continuously moved to a distant location, rema......

On the principal Ricci curvatures of a Riemannian 3-manifold

期刊: ADVANCES IN GEOMETRY, 2019; 19 (2)

We study global obstructions to the eigenvalues of the Ricci tensor on a Riemannian 3-manifold. As a topological obstruction, we first show that if th......

JIF:0.79

On mixed L-p John ellipsoids

期刊: ADVANCES IN GEOMETRY, 2019; 19 (3)

A new family of ellipsoids associated with a pair of convex bodies in R-n is introduced, which extends the classical John ellipsoids and the evolved L......

JIF:0.79

Nodal curves with a contact-conic and Zariski pairs

期刊: ADVANCES IN GEOMETRY, 2019; 19 (4)

To study the splitting of nodal plane curves with respect to contact conics, we define the splitting type of such curves and show that it can be used ......

JIF:0.79

A note on commutative semifield planes

期刊: ADVANCES IN GEOMETRY, 2018; 18 (1)

Let q be an odd prime power. We prove that a planar function f from F-q to itself can be written as an affine Dembowski-Ostrom polynomial if and only ......

JIF:0.79

On lattice coverings by simplices

期刊: ADVANCES IN GEOMETRY, 2018; 18 (2)

By studying the volumes of generalized difference bodies, this paper presents the first nontrivial lower bound for the lattice covering density by n-d......

JIF:0.79

On complex Berwald metrics which are not conformal changes of complex Minkowski metrics

期刊: ADVANCES IN GEOMETRY, 2018; 18 (3)

We investigate a class of complex Finsler metrics on a domain D subset of C-n. Necessary and sufficient conditions for these metrics to be strongly ps......

JIF:0.79

Harmonicity of vector fields on a class of Lorentzian solvable Lie groups

期刊: ADVANCES IN GEOMETRY, 2018; 18 (3)

In this paper, we consider a special class of solvable Lie groups such that for any x, y in their Lie algebras, [x, y] is a linear combination of x an......

JIF:0.79

Stein manifolds of nonnegative curvature

期刊: ADVANCES IN GEOMETRY, 2018; 18 (3)

Let X be a Stein manifold with an anti-holomorphic involution tau and nonempty compact fixed point set X-tau. We show that X is diffeomorphic to the n......

JIF:0.79

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