Results 11 to 20 of about 438,100 (274)
Note on Dolbeault cohomology and Hodge structures up to bimeromorphisms
Complex Manifolds, 2020 We construct a simply-connected compact complex non-Kähler manifold satisfying the ∂ ̅∂ -Lemma, and endowed with a balanced metric. To this aim, we were initially aimed at investigating the stability of the property of satisfying the ∂ ̅∂-Lemma under ...
Angella Daniele +3 more
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Contact-Complex Riemannian Submersions
Mathematics, 2021 A submersion from an almost contact Riemannian manifold to an almost Hermitian manifold, acting on the horizontal distribution by preserving both the metric and the structure, is, roughly speaking a contact-complex Riemannian submersion. This paper deals
Cornelia-Livia Bejan +2 more
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A Novel Hybrid Clustering Algorithm Based on Minimum Spanning Tree of Natural Core Points
IEEE Access, 2019 Clustering analysis has been widely used in pattern recognition, image processing, machine learning, and so on. It is a great challenge for most existing clustering algorithms to discover clusters with complex manifolds or great density variation.
Jinlong Huang +4 more
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Extending holomorphic mappings from subvarieties in Stein manifolds [PDF]
, 2004 Suppose that Y is a complex manifold with the property that any holomorphic map from a compact convex set in a complex Euclidean space C^n (for any n) to Y is a uniform limit of entire maps from C^n to Y.
Forstneric, Franc
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Cost function for low-dimensional manifold topology assessment
Scientific Reports, 2022 In reduced-order modeling, complex systems that exhibit high state-space dimensionality are described and evolved using a small number of parameters. These parameters can be obtained in a data-driven way, where a high-dimensional dataset is projected ...
Kamila Zdybał +3 more
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Deformations of astheno-Kähler metrics
Complex Manifolds, 2023 The property of admitting an astheno-Kähler metric is not stable under the action of small deformations of the complex structure of a compact complex manifold.
Sferruzza Tommaso
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Holomorphic sectional curvature of complex Finsler manifolds [PDF]
, 2018 In this paper, we get an inequality in terms of holomorphic sectional curvature of complex Finsler metrics. As applications, we prove a Schwarz Lemma from a complete Riemannian manifold to a complex Finsler manifold.
Wan, Xueyuan
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A Geometric Perspective on Functional Outlier Detection
Stats, 2021 We consider functional outlier detection from a geometric perspective, specifically: for functional datasets drawn from a functional manifold, which is defined by the data’s modes of variation in shape, translation, and phase.
Moritz Herrmann, Fabian Scheipl
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Twistor spaces for HKT manifolds [PDF]
, 1996 We construct the twistor space associated with an HKT manifold, that is, a hyper-K\"ahler manifold with torsion, a type of geometry that arises as the target space geometry in two-dimensional sigma models with (4,0) supersymmetry.
Bonneau +26 more
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Mathematics, 2023 Almost contact complex Riemannian manifolds, also known as almost contact B-metric manifolds, are, in principle, equipped with a pair of mutually associated pseudo-Riemannian metrics. Each of these metrics is specialized as a Yamabe almost soliton with a
Mancho Manev
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