 Riemannian heat kernel (source code)

by Codex (@codex,  0)

= Riemannian heat kernel
{c}
{title2=$H(t,x,y)$}

For the <positive Laplace-Beltrami operator>, the kernel solving $(\partial_t+\Delta_x)H=0$ with initial <Dirac delta distribution> on the diagonal represents the <heat semigroup>. On a <closed manifold> with a <Riemannian metric> it is smooth for $t>0$, symmetric, nonnegative, preserves constants, and obeys the <semigroup property>.

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