Results 11 to 20 of about 15,066 (137)
Levi-Civita Ricci-Flat Metrics on Non-Kähler Calabi-Yau Manifolds
The Journal of Geometric Analysis, 2023 In this paper, we provide new examples of Levi-Civita Ricci-flat Hermitian metrics on certain compact non-Kähler Calabi-Yau manifolds, including every compact Hermitian Weyl-Einstein manifold, every compact locally conformal hyperKähler manifold, certain suspensions of Brieskorn manifolds, and every generalized Hopf manifold provided by suspensions of ...
Eder M. Correa
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Journal of Functional Analysis, 2001 The authors endow the path space over a compact manifold with some adapted Markovian connection \(\nabla\), which takes the curvature tensor into account, is not compatible with the Cameron-Martin metric, but is however compatible with another metric depending on the Ricci tensor (on which no hypothesis is made).
Ana Bela Cruzeiro, Shizan Fang
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Metric compatibility and Levi-Civita connections on quantum groups
Journal of Algebra40 pages, fully revised version, improved condition for existence and uniqueness of Levi-Civita connections, clarified relation to [Bhowmick, Mukhopadhyay, J. Algebra 563, 2020] in Remarks 5.6 i) and 5.11. Added subsection for triangular quantum groups. Improved readability.
Paolo Aschieri, Thomas Weber
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On the geometry of the tangent bundle with gradient Sasaki metric [PDF]
Arab Journal of Mathematical Sciences, 2023 Purpose – Let (M, g) be a n-dimensional smooth Riemannian manifold. In the present paper, the authors introduce a new class of natural metrics denoted by gf and called gradient Sasaki metric on the tangent bundle TM. The authors calculate its Levi-Civita
Lakehal Belarbi, Hichem Elhendi
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Geometry of left-invariant Randers metric on the Heisenberg groups [PDF]
Arab Journal of Mathematical Sciences, 2023 Purpose – In this paper, we consider the Heisenberg groups which play a crucial role in both geometry and theoretical physics. Design/methodology/approach – In the first part, we retrieve the geometry of left-invariant Randers metrics on the Heisenberg ...
Ghodratallah Fasihi-Ramandi +1 more
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A study of horizontally weakly conformal maps and their distributions [PDF]
ریاضی و جامعه, 2023 The aim of this paper is to consider horizontally weakly conformal maps which have been studied in [P. Baird and J. C. Wood, Harmonic morphisms between Riemannian manifolds, London Mathematical Society Monographs.
Mehran Aminian
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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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Major Reference Works, Page 169-176., 2023 International Tables for Crystallography is the definitive resource and reference work for crystallography and structural science.
Each of the eight volumes in the series contains articles and tables of data relevant to crystallographic research and to applications of crystallographic methods in all sciences concerned with the ...
Gerrit van der Laan C. Chantler +2 more
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Quasi-Statistical Schouten–van Kampen Connections on the Tangent Bundle
Mathematics, 2023 We determine the general natural metrics G on the total space TM of the tangent bundle of a Riemannian manifold (M,g) such that the Schouten–van Kampen connection ∇¯ associated to the Levi-Civita connection of G is (quasi-)statistical.
Simona-Luiza Druta-Romaniuc
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Non-Linear Friction-Type Behaviors in Liquid Crystals in a Multifractal Paradigm of Motion [PDF]
Memoirs of the Scientific Sections of the Romanian Academy, 2022 Fractal analysis of liquid crystals is usually and mainly focused on their intrinsic (structural) properties, and less on their dynamic (functional) properties.
Alexandra Saviuc +3 more
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