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A free boundary isometric embedding problem in the unit ball
We study a free boundary isometric embedding problem for abstract Riemannian two-manifolds with the topology of the disc. Under the assumption of...
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Conformal and Isometric Embeddings of Gravitational Instantons
We construct isometric and conformally isometric embeddings of some gravitational instantons in...
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Isometric Lie 2-Group Actions on Riemannian Groupoids
We study isometric actions of Lie 2-groups on Riemannian groupoids by exhibiting some of their immediate properties and implications. Firstly, we...
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Isometric submersions of Teichmüller spaces are forgetful
We study the class of holomorphic and isometric submersions between finite-type Teichmüller spaces. We prove that, with potential exceptions coming...
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Extreme points in the isometric embedding problem for model spaces
In 1996 A. Aleksandrov solved the isometric embedding problem for the model spaces K Θ with an arbitrary inner function Θ.We find all extreme points...
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A Spectral Sequence for Locally Free Isometric Lie Group Actions
We present a spectral sequence for free isometric Lie algebra actions (and consequently locally free isometric Lie group actions) which relates the...
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Locally Euclidean Metrics and their Isometric Realizations
There are many works related to metrics and surfaces of positive and negative curvature. This paper is a survey of results related to locally...
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Holomorphic isometric embeddings of the complex two-plane Grassmannian into quadrics
The present article studies holomorphic isometric embeddings of the complex two-plane Grassmannian into quadrics. We discuss the moduli space of...
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Coarse geometric kernels for networks embedding
We develop embedding kernels based on the Forman–Ricci curvature and intertwined Bochner–Laplacian and employ them for the detection of the coarse...
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Holomorphic isometric embeddings of the projective space into quadrics
We classify holomorphic isometric embeddings of the projective space into quadrics using the generalization of do Carmo–Wallach theory in Nagatomo...
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Isometric structure of transportation cost spaces on finite metric spaces
The paper is devoted to isometric Banach-space-theoretical structure of transportation cost (TC) spaces on finite metric spaces. The TC spaces are...
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High-Jet Relations of the Heat Kernel: Embedding Map and Applications
For any compact Riemannian manifold (M, g) and its heat kernel embedding map...
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On the Problem of Solvability of Nonlinear Boundary Value Problems for Shallow Isotropic Shells of Timoshenko Type in Isometric Coordinates
AbstractThe solvability of a boundary value problem for a system of five nonlinear second-order partial differential equations under given nonlinear...
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Embedding Cross-Dimensional Vector Space into ℓ2
The cross-dimensional dynamical systems have received increasing research attention in recent years. This paper characterizes the structure features...
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Canonical embedding of Lipschitz-free p-spaces
We find a new finite algorithm for evaluation of Lipschitz-free p -space norm in finite-dimensional Lipschitz-free p -spaces. We use this algorithm to...
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Isometric vector fields from the Gromov–Hausdorff viewpoint
We characterize isometric vector fields through a distance resembling the Gromov–Hausdorff one (Burago D, Burago Y, Ivanov S in A course in metric...