A. V. Gavrilov

activity

20062025

most citedThe Clausius inequality does not follow from the second law of thermodynamics

1 citations · 1 across the 12 of their papers we have counts for

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Showing 2011Show all

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math.AC2011

Subalgebras of the polynomial algebra in positive characteristic and the Jacobian

A. V. Gavrilov

Let $k$ be a field of characteristic $p > 0$ and $R$ be a subalgebra of $k [X] = k [x_{1}, ..., x_{n}]$ . Let $J (R)$ be the ideal in $k [X]$ defined by $J (R) Ω_{k [X] / k}^{n} = k [X] Ω_{R / k}^{n}$ . It is sh…

math.DG2011

The Leibniz formula for the covariant derivative and some applications

A. V. Gavrilov

A generalization of the classical Leibniz rule for the covariant derivative on a vector bundle is obtained.