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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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Invariant Almost Contact Structures and Connections on the Lobachevsky Space
AbstractIt has been proven that there is a left-invariant normal almost contact metric structure on the group model of the Lobachevsky space. All...
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Super invariant theory in positive characteristic
We study invariant theory of the general linear supergroup in positive characteristic. In particular, we determine when the symmetric group algebra...
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Tensor completion via multi-directional partial tensor nuclear norm with total variation regularization
This paper addresses the tensor completion problem, whose task is to estimate missing values with limited information. However, the crux of this...
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Invariant Forms of Geodesic, Potential, and Dissipative Systems on Tangent Bundles of Finite-Dimensional Manifolds
AbstractIt is well known [1–3] that a system of differential equations can be exactly integrated if a sufficient number of its tensor invariants (not...
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Separable equivalences, finitely generated cohomology and finite tensor categories
We show that finitely generated cohomology is invariant under separable equivalences for all algebras. As a result, we obtain a proof of the finite...
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Data-Driven Reduced Order Models Using Invariant Foliations, Manifolds and Autoencoders
This paper explores how to identify a reduced order model (ROM) from a physical system. A ROM captures an invariant subset of the observed dynamics....
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A Special Type of Anti-invariant Riemannian Submersions
AbstractA special type of anti-invariant Riemannian submersions is investigated. It is shown that the base space of an anti-invariant submersion is...
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Parabolicity of Invariant Surfaces
We present a clear and practical way to characterize the parabolicity of a complete immersed surface that is invariant with respect to a Killing...
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A harmonic property of right invariant priors
It is shown that, on any Lie group, the density ratio of the right invariant measure to the left invariant measure is harmonic with respect to the...
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Certain invariant submanifolds of generalized Sasakian-space-forms
In the present paper we initiate the study of invariant submanifolds of generalized Sasakian-space-forms with K-contact metric. We consider...
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First-order thermodynamics of scalar-tensor gravity
The first-order thermodynamics of scalar-tensor theory is a novel approach that exploits the intriguing relationship between gravity and...
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Function Theory from Tensor Algebras
We survey connections between our work on tensor algebras over \(C^*\)...
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A Mysterious Tensor Product in Topology
We describe the construction of the tensor product of topological operads introduced by Boardman and Vogt, and explain some questions about it that...
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Modular Tensor Categories, Subcategories, and Galois Orbits
We establish a set of general results to study how the Galois action on modular tensor categories interacts with fusion subcategories. This includes...
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Anti-invariant Holomorphic Statistical Submersions
Our purpose in this article is to study anti-invariant statistical submersions from holomorphic statistical manifolds. Firstly we introduce...
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Rigidity of Schouten tensor under conformal deformation
We obtain some rigidity results for metrics whose Schouten tensor is bounded from below after conformal transformations. Liang Cheng [
5 ] recently... -
Tensor Products
Tensor products is the study of multilinear maps by linear maps, meaning that the multilinear maps from a space factor uniquely through a linear map...