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 ......
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......
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......
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......
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 ......
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 ......
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......
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......
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......
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......