Title: Minivoids in the Local Volume Igor Karachentsev Special Astrophysical Observatory, Russian Academy of Science Abstract: A neighboring volume of 7.5 Mpc radius is considered, which contains 355 galaxies with accurately measured distances, to detect the nearest empty volumes. Using a simple void detection algorithm, we found six large minivoids, each of more than 30 Mpc^3. Besides them, 24 middle- size "bubbles" of more than 5 Mpc^3 volume are detected, as well as 52 small "pores". The six largest minivoids occupy 58% of the considered volume. Addition of the bubbles and pores to them increase the total empty volume up to 81%. The detected local voids look like oblong potatoes with typical axial ratios 0.75 and 0.62 in the triaxial ellipsoid approximation. A correlation Gamma-function of the Local Volume galaxies follows a power law with a formally calculated fractal dimension D = 1.5. We found that galaxies surrounding the local minivoids do not differ significantly from other nearby galaxies in their luminosity, but have appreciably higher hydrogen mass-to-luminosity ratios and also higher star formation rates. An effect of local expansion of typical minivoid is recognized to be about (28+-19) km/s or delta H/Ho = (25+-15)%. Some properties of more distant local voids within 25 Mpc are briefly outlined too.