You can bend arrows, and with the arc arrow style you can place them along a path such that they get bent along the path, and the /.list key allows you to draw several of them. With these preparations you may cook down the code to something like
\draw[red,very thick,my arrow/.list={0.2,0.45,0.7},-{Stealth[length=2mm,bend]}]
(6,6) to [out=110,in=60,looseness=1.4] (4.75,5.75);
Complete MWE:
\documentclass[tikz,border=3.14mm]{standalone}
\usetikzlibrary{arrows.meta,bending,decorations.markings}
% source: https://tex.stackexchange.com/a/430239/121799
\tikzset{% inspired by https://tex.stackexchange.com/a/316050/121799
arc arrow/.style args={%
to pos #1 with length #2}{
decoration={
markings,
mark=at position 0 with {\pgfextra{%
\pgfmathsetmacro{\tmpArrowTime}{#2/(\pgfdecoratedpathlength)}
\xdef\tmpArrowTime{\tmpArrowTime}}},
mark=at position {#1-\tmpArrowTime} with {\coordinate(@1);},
mark=at position {#1-2*\tmpArrowTime/3} with {\coordinate(@2);},
mark=at position {#1-\tmpArrowTime/3} with {\coordinate(@3);},
mark=at position {#1} with {\coordinate(@4);
\draw[-{Stealth[length=#2,bend]}]
(@1) .. controls (@2) and (@3) .. (@4);},
},
postaction=decorate,
}
}
\begin{document}
\begin{tikzpicture}[my arrow/.style={arc arrow=to pos #1 with length 2mm}]
\draw[red,very thick,my arrow/.list={0.2,0.45,0.7},-{Stealth[length=2mm,bend]}]
(6,6) to [out=110,in=60,looseness=1.4] (4.75,5.75);
\end{tikzpicture}
\end{document}

Or, in case you want these gaps, you could use the show path construction decoration.
\documentclass[tikz,border=3.14mm]{standalone}
\usetikzlibrary{arrows.meta,bending,decorations.pathreplacing}
% source: https://tex.stackexchange.com/a/430239/121799
\tikzset{multiple arrows/.style={decorate,decoration={show path construction,
curveto code={
\draw [#1] (\tikzinputsegmentfirst) .. controls
(\tikzinputsegmentsupporta) and (\tikzinputsegmentsupportb)
..(\tikzinputsegmentlast);
},}}}
\begin{document}
\begin{tikzpicture}
\draw [multiple arrows={red,thick,-{Stealth[length=2mm,bend]}}]
(6,6) to [out=110,in=-20] (5.75,6.25)
to[out=160,in=-20] (5.5,6.35) to[out=160,in=50] (5,6.10)
to[out=-130,in=60] (4.75,5.75);
\end{tikzpicture}
\end{document}

decorations.markinscan help you. see second example on page 636, tikz & pgf manual, v 3.1.1. – Zarko Feb 13 '19 at 23:24