constant curvature
Bonnesen style inequality for the first eigenvalue on a complete surface of constant curvature
... of constant curvature was first investigated by Santaló [, ...of constant curvature ...of constant curvature (see [, ...
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Adversarial autoencoders with constant-curvature latent manifolds
... Many works in recent literature have highlighted that non-Euclidean geome- try can naturally arise in many application domains, with constant-curvature Riemannian manifolds (CCMs), e.g., hyperspherical and ...
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Bonnesen style inequalities on surfaces of constant curvature
... 20. Schmidt, E.: Über das isoperimetrische problem im Raum von n dimensionen. Math. Z. 44, 689–788 (1939) 21. Schneider, R.: Convex Bodies: The Brunn–Minkowski Theory. Cambridge University Press, Cambridge (2014) 22. ...
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A Geometric characterization of Finsler manifolds of constant curvature K=1
... of constant curvature is one of the fundamental subjects in Finsler ...of constant curvature K is locally Minkowskian if K = 0 and Riemannian if K = ...positive constant ...
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Surfaces of Constant Curvature in the Pseudo Galilean Space
... Gaussian curvature is ...of constant negative curvature or timelike surface of constant positive ...of constant curvature and show that the angle satisfies the Klein-Gordon ...
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Randers manifolds of positive constant curvature
... of constant curvature, and Bao and Robles [4] found necessary and sufficient conditions for a Randers manifold to have constant flag ...positive constant flag curva- ture are diffeomorphic to ...
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Quantization in spaces of constant curvature
... Spaces of constant curvature possess enough symmetry so that our modifie at icn can play it s role. The problem of quantization in such spaces is discussed in §4-18, E xplicit forms of the quantum and cla ...
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EXTENSIONS OF CONSTANT CURVATURE
... In each case it may be noted that the Christoffel symbols and hence the geodesic equa- tions are extended. We give examples where extension of flat metric is flat and that of extension of a metric of non zero ...
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The R W Metric Has No Constant Curvature When Scalar Factor R(t) Changes with Time
... peating. Because physicists can not explain the high red-shift of supernovae, the concept of dark energy has to be introduced. By the correct understanding of the constant in the R-W metric and the Friedmann ...
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Quadratic Hamiltonians on non-Euclidean spaces of arbitrary constant curvature
... In this paper a closed form solution for Riemannian and sub-Riemannian curves on non-Euclidean spaces of arbitrary curvature are derived. The projection of the curves onto the base space are expressed in terms of ...
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Constant mean curvature hypersurfaces with constant δ invariant
... It is known that the invariant δ plays some important roles in recent study of Riemannian manifolds and Riemannian submanifolds (see, e.g., [4, 5, 6, 7, 8, 10, 11, 12, 14, 15, 16]). In particular, it was proved in [3] ...
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3. Three dimensional kinematic surfaces with constant scalar curvature in Lorentz{Minkowski 7-space
... [7] R. L´ opez, How to use MATHEMATICA to find cyclic surfaces of constant curvature in Lorentz-Minkowski space, in: Global Differential Geometry: The Mathematical Legacy of Alfred Gray, (M. Fernndez, J. ...
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Distributed curvature and stability of fullerenes
... total curvature, but what may distinguish them is the distribution of that curvature over the ...combinatorial curvature, ...combinatorial curvature are the prisms and ...combinatorial ...
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On the sectional curvature of lightlike submanifolds
... In this paper, we extend this modified sectional curvature from Lorentzian manifolds to semi-Riemannian manifolds under the name of ’bounded sectional curvature’. We in- troduce some special r-lightlike ...
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Some Inequalities for the Curvature Image
... Correspondence should be addressed to Wang Weidong, [email protected] Received 16 May 2009; Revised 19 August 2009; Accepted 14 October 2009 Recommended by Peter Pang Lutwak introduced th[r] ...
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A Theory for the Cosmological Constant and its Explanation of the Gravitational Constant
... cosmological constant has a large increase as described in our previous ...cosmological constant decreases due to lower density of ...gravitational constant can also be explained by the smallness ...
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Design and Development of an Electronic Sensor to Detect and Measure Curvature of Spaces Using Curvature Energy
... The experimental problem will consist in designing and developing a sensitive device to recognise curvature in round surfaces measuring the magnitude of roundness of these and their data encoding from voltage to ...
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Newton’s Gravitational Constant Big G Is Not a Constant
... tween the two masses is zero. At the same time, from the standpoint of the stationary observer , both masses are moving with a certain relative and constant velocity v relative to the frame of reference of the ...
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Autonomous and Mobile Prototype of Curvature Sensor with Remote Reliable Communication of Spectral Curvature
... The Bluetooth HC-05 module, is the that offers a best relation of price and function- ing characteristics since is a master-slave module, which want to say that furthermore of receive connections from a PC or tablet, ...
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Riemannian Geometry Of The Curvature Tensor
... Consider U a split region, so C = 0 on U . By the de Rham-type splitting result of [FZ16, PR93], we know that U i is isometrically the product of Σ × R for some surface Σ with Gaussian curvature −1. Each boundary ...
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