Results 131 to 140 of about 87,863 (252)
A generalization of contact metric manifolds [PDF]
We give a characterization of a contact metric manifold as a special almost contact metric manifold and discuss an almost contact metric manifold which is {a} natural generalization of the contact metric manifolds introduced by Y. Tashiro.
arxiv
Learning group invariant Calabi–Yau metrics by fundamental domain projections
We present new invariant machine learning models that approximate the Ricci-flat metric on Calabi–Yau (CY) manifolds with discrete symmetries. We accomplish this by combining state of the art models for predicting such metrics, based on the so-called φ ...
Yacoub Hendi+2 more
doaj +1 more source
Weakly holomorphic homogeneous regular manifolds [PDF]
We introduce a class of complex manifolds which we call weakly holomorphic homogeneous regular manifolds (wHHR) manifolds. As the name suggests, this class contains the so-called holomorphic homogeneous regular manifolds but also other classes of complex manifolds such as two dimensional finite type domains and simply connected K\"ahler manifolds with ...
arxiv
A Ricci flat pseudo-Riemannian metric on the tangent bundle of a Riemannian manifold [PDF]
Neculai Papaghiuc
openalex +1 more source
Three-dimensional Riemannian manifolds associated with locally conformal Riemannian product manifolds [PDF]
A 3-dimensional Riemannian manifold equipped with a tensor structure of type $(1,1)$, whose fourth power is the identity, is considered. This structure acts as an isometry with respect to the metric. A Riemannian almost product manifold associated with such a manifold is also studied.
arxiv
The object of the present paper is to study a special type of spacetime. It is proved that in a conformally flat (W RS)4 spacetime with non-zero scalar curvature the vector field p defined by ɡ(X, p) = E(X) is irrotational and the integral curves of the ...
Mallick Sahanous, Chand De Uday
doaj
Non-zero degree maps between closed orientable three-manifolds [PDF]
This paper adresses the following problem: Given a closed orientable three-manifold M, are there at most finitely many closed orientable three-manifolds 1-dominated by M? We solve this question for the class of closed orientable graph manifolds. More presisely the main result of this paper asserts that any closed orientable graph manifold 1-dominates ...
arxiv
On the Optimal Control of Impulsive Hybrid Systems On Riemannian Manifolds [PDF]
This paper provides a geometrical derivation of the Hybrid Minimum Principle (HMP) for autonomous impulsive hybrid systems on Riemannian manifolds, i.e. systems where the manifold valued component of the hybrid state trajectory may have a jump discontinuity when the discrete component changes value.
arxiv
Essential constants for spatially homogeneous Ricci-flat manifolds of dimension 4+1 [PDF]
T. Christodoulakis+2 more
openalex +1 more source
Generalized Isotropic Berwald Manifolds [PDF]
In this paper, we construct a new class of Finsler manifolds called generalized isotropic Berwald manifolds which is an extension of the class of isotropic Berwald manifolds. We prove that every generalized isotropic Berwald manifold is a generalized Douglas-Weyl manifold. On a compact generalized isotropic Berwald manifold, we show that the notions of
arxiv