Results 1 to 10 of about 39,674 (113)
Para-Ricci-like Solitons with Arbitrary Potential on Para-Sasaki-like Riemannian Π-Manifolds [PDF]
Para-Ricci-like solitons with arbitrary potential on para-Sasaki-like Riemannian Π-manifolds are introduced and studied. For the studied soliton, it is proved that its Ricci tensor is a constant multiple of the vertical component of both metrics.
Hristo Manev, Mancho Manev
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The study of the so-called Π-manifolds has been continued. This is a short name for almost paracontact almost paracomplex manifolds with a pair of metrics—Riemannian and pseudo-Riemannian—that are mutually related and compatible with the structure of the
Mancho Manev, Victoria Kuncheva
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Riemannian Diffusion Models [PDF]
Diffusion models are recent state-of-the-art methods for image generation and likelihood estimation. In this work, we generalize continuous-time diffusion models to arbitrary Riemannian manifolds and derive a variational framework for likelihood ...
Chin-Wei Huang +4 more
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Second Chern-Einstein metrics on four-dimensional almost-Hermitian manifolds [PDF]
We study four-dimensional second Chern-Einstein almost-Hermitian manifolds. In the compact case, we observe that under a certain hypothesis, the Riemannian dual of the Lee form is a Killing vector field.
G. Barbaro, Mehdi Lejmi
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First Natural Connection on Riemannian Π-Manifolds
A natural connection with torsion is defined, and it is called the first natural connection on the Riemannian Π-manifold. Relations between the introduced connection and the Levi–Civita connection are obtained.
Hristo Manev
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Para-Ricci-like Solitons with Vertical Potential on Para-Sasaki-like Riemannian Π-Manifolds [PDF]
The objects of study are para-Ricci-like solitons on para-Sasaki-like, almost paracontact, almost paracomplex Riemannian manifolds, namely, Riemannian Π-manifolds.
H. Manev
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Poisson Doubly Warped Product Manifolds
This article generalizes some geometric structures on warped product manifolds equipped with a Poisson structure to doubly warped products of pseudo-Riemannian manifolds equipped with a doubly warped Poisson structure.
Ibrahim Al-Dayel +2 more
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Gradient almost Para-Ricci-like Solitons on Para-Sasaki-like Riemannian Pi-manifolds [PDF]
Gradient almost para-Ricci-like solitons on para-Sasaki-like Riemannian Π-manifolds are studied. It is proved that these objects have constant soliton coefficients.
H. Manev
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Line Search Algorithms for Locally Lipschitz Functions on Riemannian Manifolds
S. Hosseini, W. Huang, R. Yousefpour
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Learning Neural Operators on Riemannian Manifolds [PDF]
In Artificial Intelligence (AI) and computational science, learning the mappings between functions (called operators) defined on complex computational domains is a common theoretical challenge.
Gengxiang Chen +5 more
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