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Convexity of Non-homogeneous Quadratic Functions on the Hyperbolic Space
In this paper, some concepts related to the intrinsic convexity of non-homogeneous quadratic functions on the hyperbolic space are studied. Unlike in...
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Fundamental Solutions for a Piecewise-Homogeneous Transversely Isotropic Elastic Space
The problem of construction of the fundamental solutions for a piecewise-homogeneous transversely isotropic space is reduced to a matrix Riemann...
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A Dynamic Green’s Function for the Homogeneous Viscoelastic and Isotropic Half-Space
A dynamic 3D Green’s function for the homogeneous, isotropic and viscoelastic (of the Zener type) half-space is derived in a closed form. The results...
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The smoothing effect in sharp Gevrey space for the spatially homogeneous non-cutoff Boltzmann equations with a hard potential
In this article, we study the smoothing effect of the Cauchy problem for the spatially homogeneous non-cutoff Boltzmann equation for hard potentials....
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The Krein–Milman Theorem for Homogeneous Polynomials
This note addresses the problem of recovering a convex set of homogeneous polynomials from the subset of its extreme points, i.e., the justification...
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Parabolic Boundary-Value Problems in a Piecewise Homogeneous Wedge-Shaped Cylindrically Circular Space
By the method of integral and hybrid integral transforms in combination with the method of principal solutions (matrices of influence and Green’s...
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Discrete Approximation of Solutions of the Cauchy Problem for a Linear Homogeneous Differential-Operator Equation with a Caputo Fractional Derivative in a Banach Space
In this paper, we construct and examine the time-discretization scheme for the Cauchy problem for a linear homogeneous differential equation with the...
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Existence of minimizers for causal variational principles on compact subsets of momentum space in the homogeneous setting
We prove the existence of minimizers for the causal action in the class of negative definite measures on compact subsets of momentum space in the...
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Contractibility of homogeneous Kenmotsu manifolds
We prove that every homogeneous Kenmotsu manifold is a contractible space.
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Covariant Derivatives on Homogeneous Spaces: Horizontal Lifts and Parallel Transport
We consider invariant covariant derivatives on reductive homogeneous spaces corresponding to the well-known invariant affine connections. These...
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ORTHOGONAL ADDITIVITY OF MONOMIALS IN POSITIVE HOMOGENEOUS POLYNOMIALS
A monomial in finite collection of homogeneous polynomials is a point-wise product of these polynomials each raised to some power. It was established...
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Computing equivariant matrices on homogeneous spaces for geometric deep learning and automorphic Lie algebras
We develop an elementary method to compute spaces of equivariant maps from a homogeneous space G / H of a Lie group G to a module of this group. The...
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Codazzi Tensor Fields in Reductive Homogeneous Spaces
We extend the results about left-invariant Codazzi tensor fields on Lie groups equipped with left-invariant Riemannian metrics obtained by d’Atri in...
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Homogeneous isosceles-free spaces
We study homogeneity aspects of metric spaces in which all triples of distinct points admit pairwise different distances; such spaces are called isosceles-free...
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Immersions of Sasaki–Ricci solitons into homogeneous Sasakian manifolds
We discuss local Sasakian immersion of Sasaki–Ricci solitons (SRS) into fiber products of homogeneous Sasakian manifolds. In particular, we prove...
