Results 41 to 50 of about 358,289 (300)

Scalar Curvature via Local Extent

Analysis and Geometry in Metric Spaces, 2018
We give a metric characterization of the scalar curvature of a smooth Riemannian manifold, analyzing the maximal distance between (n + 1) points in infinitesimally small neighborhoods of a point.
Veronelli Giona
doaj   +1 more source

Black Holes have Intrinsic Scalar Curvature

Reports in Advances of Physical Sciences, 2023
The scalar curvature R is invariant under isometric symmetries (distance invariance) associated with metric spaces. Gravitational Riemannian manifolds are metric spaces.
P. D. Morley
doaj   +1 more source

Intrinsic problems of the gravitational baryogenesis

Physics Letters B, 2017
Modification of gravity due to the curvature dependent term in the gravitational baryogenesis scenario is considered. It is shown that this term leads to the fourth order differential equation of motion for the curvature scalar instead of the algebraic ...
E.V. Arbuzova, A.D. Dolgov
doaj   +1 more source

Constraints on primordial curvature spectrum from primordial black holes and scalar-induced gravitational waves

European Physical Journal C: Particles and Fields, 2023
The observational data of primordial black holes and scalar-induced gravitational waves can constrain the primordial curvature perturbation at small scales. We parameterize the primordial curvature perturbation by a broken power law form and find that it
Zhu Yi, Qin Fei
doaj   +1 more source

On Square metrics of scalar flag curvature [PDF]

Israel Journal of Mathematics, 2018
We consider a special class of Finsler metrics --- square metrics which are defined by a Riemannian metric and a 1-form on a manifold. We show that an analogue of the Beltrami Theorem in Riemannian geometry is still true for square metrics in dimension $n\ge 3$, namely, an $n(\ge 3)$-dimensional square metric is locally projectively flat if and only if
Shen, Zhongmin, Yang, Guojun
openaire   +2 more sources

On Sprays of Scalar Curvature and Metrizability

The Journal of Geometric Analysis, 2023
20 ...
openaire   +2 more sources

Bone and Soft Tissue Neoplasms in Infants Versus Older Children: A Report From the Cancer in Young People in Canada Program

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background and Aims Infant bone and soft tissue neoplasms present distinct clinical challenges and lack large‐scale data to inform treatment decisions. This study aims to characterize bone and soft tissue neoplasms in infants in Canada and to compare their outcomes with those of older pediatric patients.
Samuel Sassine, Hallie Coltin, Maria Kondyli, Monia Marzouki, Nicolas Prud'homme, Nida Usmani, Rebecca J. Deyell, Lesleigh Abbott, Tony H. Truong, Sapna Oberoi, Ketan Kulkarni, Josée Brossard, Lynette Bowes, Paul Gibson, Sarah McKillop, Roona Sinha, Lillian Sung, Catherine Vezina, Laura Wheaton, Alexandra P. Zorzi, Marie‐Claude Pelland‐Marcotte, Thai Hoa Tran   +21 more
wiley   +1 more source

Scalar curvature and entanglement of the Gaussian state manifold in de Sitter spacetime

Nuclear Physics B
The Hilbert-Schmidt measure is a useful geometric tool used to investigate the properties on the manifold of mixed Gaussian states in multimode continuous variable quantum systems.
Mohamed Amazioug, Mohammed Daoud
doaj   +1 more source

On the scalar curvature of complex surfaces [PDF]

Geometric and Functional Analysis, 1995
10 pages, LaTeX, with optional \Bbb font replaceable by ...
openaire   +2 more sources

Positive Scalar Curvature and Applications [PDF]

, 2019
We introduce the idea of curvature, including how it developed historically, and focus on the scalar curvature of a manifold. A major current research topic involves understanding positive scalar curvature.
Wraith, David, Rosenberg, Jonathan
core   +1 more source