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Swimming in curved space
(2016)
Swimming in curved space
(2011)
Phase space path integral in curved space
(World Scientific, 2001-04)
Phase space path integral is worked out in a Riemannian geometry, by employing a
prescription for the innitesimal propagator that takes Riemann normal coordinates
and momenta on an equal footing. The operator ordering ...
Nowhere vanishing torsion closed curves always hide twice
(Kluwer Academic PublDordrechtHolanda, 1997)
Rectifiability of Self-Contracted Curves in the Euclidean Space and Applications
(Springer, 2015)
It is hereby established that, in Euclidean spaces of finite dimension,
bounded self-contracted curves have finite length. This extends the main result of
Daniilidis et al. (J. Math. Pures Appl. 94:183–199, 2010) concerning ...
Minimal length curves in unitary orbits of a Hermitian compact operator
(Elsevier Science, 2016-04)
We study some examples of minimal length curves in homogeneous spaces of B(H) under a left action of a unitary group. Recent results relate these curves with the existence of minimal (with respect to a quotient norm) ...
Arrangements of rational sections over curves and the varieties they define
(EUROPEAN MATHEMATICAL SOC, 2011)
We introduce arrangements of rational sections over curves. They generalize line arrangements on P-2. Each arrangement of d sections defines a single curve in Pd-2 through the Kapranov's construction of (M) over bar (0,d+1). ...