Results 31 to 40 of about 1,198,709 (262)
Background field method for nonlinear sigma models in nonrelativistic string theory
Journal of High Energy Physics, 2020 We continue the study of nonrelativistic string theory in background fields. Nonrelativistic string theory is described by a nonlinear sigma model that maps a relativistic worldsheet to a non-Lorentzian and non-Riemannian target space geometry, which is ...
Ziqi Yan, Matthew Yu
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RIEMANNIAN GEOMETRY OF LAGRANGIAN SUBMANIFOLDS [PDF]
Taiwanese Journal of Mathematics, 2001 The Lagrangian submanifolds (LS) in Kähler manifolds and in the nearly Kähler six-sphere are studied from Riemannian point of view. The basic properties of LS are reviewed and the Riemannian obstructions to Lagrangian isometric immersions are searched. Optimal inequalities between scalar curvature, Ricci curvature, shape operator and mean curvature are
Bang‐Yen Chen
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Riemannian Geometry of Symmetric Positive Definite Matrices via Cholesky Decomposition [PDF]
SIAM Journal on Matrix Analysis and Applications, 2019 We present a new Riemannian metric, termed Log-Cholesky metric, on the manifold of symmetric positive definite (SPD) matrices via Cholesky decomposition. We first construct a Lie group structure and a bi-invariant metric on Cholesky space, the collection
Zhenhua Lin
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A Generalized Bochner Technique and Its Application to the Study of Conformal Mappings
Axioms, 2021 This article is devoted to geometrical aspects of conformal mappings of complete Riemannian and Kählerian manifolds and uses the Bochner technique, one of the oldest and most important techniques in modern differential geometry. A feature of this article
Vladimir Rovenski +2 more
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RIEMANNIAN GEOMETRY OF HARTOGS DOMAINS [PDF]
International Journal of Mathematics, 2009 Let DF = {(z0, z) ∈ ℂn | |z0|2 < b, ||z||2 < F(|z0|2)} be a strongly pseudoconvex Hartogs domain endowed with the Kähler metric gF associated to the Kähler form [Formula: see text]. This paper contains several results on the Riemannian geometry of these domains. These are summarized in Theorems 1.1–1.3.
DI SCALA A. J +2 more
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On some conformally einstein manifolds of dimension four [PDF]
ریاضی و جامعه, 2022 We study an important family of four-dimensional pseudo-Riemannian manifolds, i.e. generalized symmetric spaces, in terms of conformal geometry. Generalized symmetric spaces were introduced by geometers as an extension of symmetric spaces, and a detailed
Amirhesam Zaeim +2 more
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On Cartan torsion of 4-dimensional Finsler manifolds [PDF]
Journal of HyperstructuresThere are several non-Riemannian curvatures in Finsler geometry which show the complexity of Finsler geometry with respect to Riemannian geometry. Amon these quantities, the Cartan and mean Cartan torsion have very important and brilliant positions.
Akbar Tayebi
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String Theory and Non-Riemannian Geometry.
Physical Review Letters, 2020 The O(D,D) covariant generalized metric, postulated as a truly fundamental variable, can describe novel geometries where the notion of Riemannian metric ceases to exist.
Jeong-Hyuck Park, S. Sugimoto
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Journal of Differential Geometry, 1986 A sub-Riemannian or singular Riemannian geometry is given by a smoothly varying positive definite quadratic form defined only on a subbundle \(S\) of the tangent bundle \(TM\) of a differentiable manifold, \(S\) being bracket-generating, that is sections of \(S\) together with their Lie brackets generate the \(C^{\infty}(M)\)-module \(V(M)\) of vector ...
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