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Immersions into Sasakian space forms
We study immersions of Sasakian manifolds into finite and infinite dimensional Sasakian space forms. After proving Calabi’s rigidity results in the...
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Rolling reductive homogeneous spaces
Rollings of reductive homogeneous spaces are investigated. More precisely, for a reductive homogeneous space G / H with reductive decomposition
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Generalized Ricci Solitons on Non-reductive Four-Dimensional Homogeneous Spaces
In the present paper, we consider the non-reductive four-dimensional homogeneous spaces and we classify homogeneous generalized Ricci solitons on...
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On the tightness of an SDP relaxation for homogeneous QCQP with three real or four complex homogeneous constraints
In this paper, we consider the problem of minimizing a general homogeneous quadratic function, subject to three real or four complex homogeneous...
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The Time-Dependent Symbol of a Non-homogeneous Itô Process and Corresponding Maximal Inequalities
The probabilistic symbol is defined as the right-hand side derivative at time zero of the characteristic functions corresponding to the...
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Homogeneous Hypersurfaces in Symmetric Spaces
A hypersurface of a Riemannian manifold is called homogeneous if it is an orbit of an isometric action on the ambient manifold. Homogeneous...
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On the Isometry Group of Immortal Homogeneous Ricci Flows
We establish a structure result for the isometry group of non-compact, homogeneous manifolds admitting an immortal homogeneous Ricci flow solution.
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Conjectures on Reductive Homogeneous Spaces
We address some conjectures and open problems in the ‘analysis of symmetries’ which include the study of non-commutative harmonic analysis and...
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Einstein-like metrics on compact homogeneous spaces
In this paper, we study Einstein-like metrics on compact homogeneous spaces G / H . In the beginning, we give a characterization of Einstein-like...
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Homogeneous semisymmetric neutral 4-manifolds
We determine homogeneous semi-symmetric neutral manifolds of dimension 4. We also describe all the possible semi-symmetric curvature tensors on...
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Fractional Leibniz-type Rules on Spaces of Homogeneous Type
Let ( M , ρ , μ ) be a space of homogeneous type satisfying the reverse doubling condition and the non-collapsing condition. In view of the lack of the...
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On the Geometry of Finite Homogeneous Subsets of Euclidean Spaces
This survey is devoted to results recently obtained on finite homogeneous metric spaces. One of the main subjects of discussion is the classification...
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Homogeneous Graph Neural Networks
Graph Neural Networks (GNNs) have been widely used in various graph-related tasks and exhibited competitive performance. Existing GNNs follow a...
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A Copositivity-type Existence Result for Weakly Homogeneous Variational Inequalities
Recently, Gowda and Sossa [Math. Program., 2019, 177: 149–171] studied the existence of solutions to weakly homogeneous variational inequalities. In...