Results 81 to 90 of about 33,679 (219)
On Properties of Geodesic Semilocal E-Preinvex Functions [PDF]
arXiv, 2018 The authors define a class of functions on Riemannian manifolds, which is called geodesic semilocal E-preinvex functions, as a generalization of geodesic semilocal E-convex and geodesic semi E-preinvex functions and some of its properties are established.
arxiv
Black-Box Optimization Using Geodesics in Statistical Manifolds
Entropy, 2015 Information geometric optimization (IGO) is a general framework for stochastic optimization problems aiming at limiting the influence of arbitrary parametrization choices: the initial problem is transformed into the optimization of a smooth function on a
Jérémy Bensadon
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Geodesics in the Heisenberg Group
Analysis and Geometry in Metric Spaces, 2015 Abstract We provide a new and elementary proof for the structure of geodesics in the Heisenberg group Hn. The proof is based on a new isoperimetric inequality for closed curves in R2n.We also prove that the Carnot- Carathéodory metric is real analytic away from the center of the group.
Piotr Hajłasz, Scott Zimmerman
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Selecciones MatemáticasCalculus of variations is a fundamental mathematical discipline focused on optimizing functionals, which map sets of functions to real numbers. This field is essential for numerous applications, including the formulation and solution of partial ...
Delphin Mwinken
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On surfaces with a rectilinear geodesic circle [PDF]
, 1958 Adriano M. Garsia
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Geodesics on an invariant surface
Journal of Geometry and Physics, 2011 We study the geodesics on an invariant surface of a three dimensional Riemannian manifold. The main results are: the characterization of geodesic orbits; a Clairaut's relation and its geometric interpretation in some remarkable three dimensional spaces; the local description of the geodesics; the explicit description of geodesic curves on an invariant ...
MONTALDO, STEFANO, ONNIS I. I.
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A prime geodesic theorem for higher rank II: singular geodesics [PDF]
Rocky Mountain J. Math. 39, No. 2, 485-507 (2009), 2004 A prime geodesic theorem for singular geodesics in a locally symmetric space is proved. As an application, an asymptotic formula for units in number fields is given.
arxiv
On the trajectories of null and timelike geodesics in different wormhole geometries
European Physical Journal C: Particles and Fields, 2018 The paper deals with an extensive study of null and timelike geodesics in the background of wormhole geometries. Starting with a spherically symmetric spacetime, null geodesics are analyzed for the Morris–Thorne wormhole (WH) and photon spheres are ...
Anuj Mishra, Subenoy Chakraborty
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The Generalized Beltrami Problem Concerning Geodesic Representation [PDF]
, 1903 Edward Kasner
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