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COMPARISON RESULTS FOR CONJUGATE AND FOCAL POINTS IN SEMI-RIEMANNIAN GEOMETRY VIA MASLOV INDEX
(PACIFIC JOURNAL MATHEMATICS, 2009)
We prove an estimate on the difference of Maslov indices relative to the choice of two distinct reference Lagrangians of a continuous path in the Lagrangian Grassmannian of a symplectic space. We discuss some applications ...
Circle-point midpoint theorem
(Wolfram Demonstrations Project, 2011)
Circle-point midpoint theorem
(Wolfram Demonstrations Project, 2016)
Fluctuating commutative geometry
(World Scientific Publ Co Pte Ltd, 2003-11-20)
We use the framework of noncommutative geometry to define a discrete model for fluctuating geometry. Instead of considering ordinary geometry and its metric fluctuations, we consider generalized geometries where topology ...
Fluctuating commutative geometry
(World Scientific Publ Co Pte Ltd, 2003-11-20)
We use the framework of noncommutative geometry to define a discrete model for fluctuating geometry. Instead of considering ordinary geometry and its metric fluctuations, we consider generalized geometries where topology ...
Lattice points on a circle
(Wolfram Demonstrations Project, 2011)
Lattice points on a circle
(Wolfram Demonstrations Project, 2016)
Coordenadas rectangulares y polares
(2012-01)
These slides present a short introduction to analytic geometry. Concepts about absolute value, directed distance, rectangular and polar coordinates, distance between two points, division of a segment in a given rate, ...
Estudo das geometrias afim e projetiva sob o ponto de vista de Felix Klein
(Universidade Tecnológica Federal do ParanáToledoBrasilLicenciatura em MatemáticaUTFPR, 2019-12-06)
This work aims to present an introduction to Afim and Projective Geometries and their main resources through groups of transformations. Thus, it defines its properties, presents the theorems and the results of each geometry. ...