Results 31 to 40 of about 1,987 (109)

Steinitz theorems for simple orthogonal polyhedra

Journal of Computational Geometry, 2014
We define a simple orthogonal polyhedron to be a three-dimensional polyhedron with the topology of a sphere in which three mutually-perpendicular edges meet at each vertex.By analogy to Steinitz's theorem characterizing the graphs of convex polyhedra, we
David Eppstein, Elena Mumford
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Zero modes in de Sitter background

Journal of High Energy Physics, 2017
There are five well-known zero modes among the fluctuations of the metric of de Sitter (dS) spacetime. For Euclidean signature, they can be associated with certain spherical harmonics on the S 4 sphere, viz., the vector representation 5 of the global SO ...
Martin B. Einhorn, D. R. Timothy Jones
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C T for conformal higher spin fields from partition function on conically deformed sphere

Journal of High Energy Physics, 2017
We consider the one-parameter generalization S q 4 of 4-sphere with a conical singularity due to identification τ = τ +2πq in one isometric angle. We compute the value of the spectral zeta-function at zero ζ ^ q = ζ 0 q $$ \widehat{\zeta}(q)=\zeta \left ...
Matteo Beccaria, Arkady A. Tseytlin
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Geometrical Consequences of Conformal Symmetries in Gradient Schouten Solitons

Mathematics
This study explores the conformal geometry of gradient Schouten solitons characterized by constant scalar curvature, which represents a notable extension of the Einstein equation.
Noura M. Alhouiti, Ali H. Alkhaldi, Akram Ali   +2 more
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Evaluation of the Length and Isometric Pattern of the Anterolateral Ligament With Serial Computer Tomography

Orthopaedic Journal of Sports Medicine, 2014
Background: Recent anatomical studies have identified the anterolateral ligament (ALL). Injury to this structure may lead to the presence of residual pivot shift in some reconstructions of the anterior cruciate ligament.
Camilo Partezani Helito MD, Paulo Victor Partezani Helito MD, Marcelo Batista Bonadio MD, Roberto Freire da Mota e Albuquerque MD, PhD, Marcelo Bordalo-Rodrigues MD, Jose Ricardo Pecora MD, PhD, Gilberto Luis Camanho MD, PhD, Marco Kawamura Demange MD, PhD   +7 more
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Rigidity theorems of Clifford Torus

Anais da Academia Brasileira de Ciências, 2001
Let M be an n-dimensional closed minimally immersed hypersurface in the unit sphere Sn + 1. Assume in addition that M has constant scalar curvature or constant Gauss-Kronecker curvature. In this note we announce that if M has (n - 1) principal curvatures
SOUSA JR. LUIZ A. M.
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Rigidity of Non-Steady Gradient Ricci Solitons

Axioms
Let (M,g) be a connected, compact Riemannian manifold of dimensionan n. We demonstrate that, after a suitable normalization, a shrinking gradient Ricci soliton (M,g,f,λ) is trivial exactly when the mean value of f is less than or equal to n2.
Mohammed Guediri
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Ricci Vector Fields Revisited

Mathematics
We continue studying the σ-Ricci vector field u on a Riemannian manifold (Nm,g), which is not necessarily closed. A Riemannian manifold with Ricci operator T, a Coddazi-type tensor, is called a T-manifold.
Hanan Alohali, Sharief Deshmukh, Gabriel-Eduard Vîlcu   +2 more
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Some Properties of the Potential Field of an Almost Ricci Soliton

Mathematics
In this article, we are interested in finding necessary and sufficient conditions for a compact almost Ricci soliton to be a trivial Ricci soliton. As a first result, we show that positive Ricci curvature and, for a nonzero constant c, the integral of ...
Adara M. Blaga, Sharief Deshmukh
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Homogeneity of isosceles orthogonality and related inequalities

Journal of Inequalities and Applications, 2011
We study the homogeneity of isosceles orthogonality, which is one of the most important orthogonality types in normed linear spaces, from two viewpoints.
Wu Senlin, Hao Cuixia
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