Comparison results for conjugate and focal points in semi-Riemannian geometry via Maslov index - Mathematics > Differential GeometryReport as inadecuate




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Abstract: We prove an estimate on the difference of Maslov indices relative to thechoice of two distinct reference Lagrangians of a continuous path in theLagrangian Grassmannian of a symplectic space. We discuss some applications tothe study of conjugate and focal points along a geodesic in a semi-Riemannianmanifold.



Author: Miguel Angel Javaloyes, Paolo Piccione

Source: https://arxiv.org/







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