Results 61 to 70 of about 1,647 (169)
Incompatible deformations in solids with hyperbolic thermoelasticity
The present study aims to develop a theory of incompatible deformations and evolutionary problems for media with hyperbolic heat conductivity. The specificity of the problem lies in the fact that, although it seems preferable to adopt Hamilton’s ...
K. G. Koifman
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Spacetime Deformation-Induced Inertia Effects
We construct a toy model of spacetime deformation-induced inertia effects, in which we prescribe to each and every particle individually a new fundamental constituent of hypothetical 2D, so-called master space (MS), subject to certain rules.
Gagik Ter-Kazarian
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Topological and geometric rigidity of nonnegatively curved submanifolds
Abstract We investigate the topology and geometry of compact submanifolds in space forms of nonnegative curvature satisfying a lower bound on the sectional curvature that depends only on the length of the mean curvature vector of the immersion. We show that this condition imposes strong constraints on either the topology or geometry of the submanifold.
Theodoros Vlachos
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On the geometry of WDVV equations and their Hamiltonian formalism in arbitrary dimension
Abstract It is known that in low dimensions Witten–Dijkgraaf–Verlinde–Verlinde (WDVV) equations can be rewritten as commuting quasilinear bi‐Hamiltonian systems. We extend some of these results to arbitrary dimension N$N$ and arbitrary scalar product η$\eta$.
S. Opanasenko, R. Vitolo
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On the properties of stationary configurations of a rotating self-gravitating ideal fluid with a vortex gravitational field [PDF]
Background and Objectives: Within the framework of Einstein’s general-relativistic theory of gravity, that is, the general theory of relativity (GR), the properties of stationary distributions of a self-gravitating rotating continuous medium in the
Krechet, Vladimir G. +2 more
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Optimal bounds for the Kobayashi distance near C2$\mathcal {C}^2$‐smooth boundary points
Abstract It is shown that the optimal upper and lower bounds for the Kobayashi distance near C2,α$\mathcal {C}^{2,\alpha }$‐smooth strongly pseudoconvex boundary points obtained in Kosiński, Nikolov, and Ökten [Adv. Math. 478 (2025), 110388] remain true in the general C2$\mathcal {C}^2$‐smooth strongly pseudoconvex setting.
Nikolai Nikolov, Pascal J. Thomas
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Wasserstein rigidity over Rn$\mathbb {R}^n$ with smooth norms
Abstract We study p−Wasserstein$p-{\rm Wasserstein}$ spaces Wp(Rn,dN)$ \mathcal {W}_p(\mathbb {R}^n, d_N)$ over Rn$\mathbb {R}^n$ equipped with a norm metric dN$d_N$. We show that, if the norm is smooth enough, then the Wasserstein space is isometrically rigid whenever p≠2$p \ne 2$.
Zoltán M. Balogh +3 more
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Exact four-parameter rotating NS-NS vacuum in double field theory
We construct an exact rotating vacuum of the NS-NS sector, equivalently a Double Field Theory vacuum. The construction applies compact SO(2) S-duality to a rotating Einstein-scalar seed.
Hun Jang, Minkyoo Kim, Jeong-Hyuck Park
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In parametric statistics, it is well established that the canonical measures of estimator performance—such as bias, variance, and mean squared error—are inherently dependent on the parameterization of the model.
José Manuel Corcuera +1 more
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Riemannian Geometry of the Local Class Transition Tensor
This supplement provides rigorous mathematical derivations of the Riemannian structure induced by the transition tensor Tcc′j. It includes: (1) the complete derivation of the Christoffel symbols, (2) the sectional curvature and its properties, (3) the Bianchi identities with proofs, (4) the Gauss-Bonnet theorem for the simplex, (5) the formal ...
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