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The peculiar velocities of galaxies distort the clustering patternanisotropically in redshift space. This effect on the statistics of isodensitycontours is examined by linear theory. The statistics considered in this paperare the three- and two-dimensional genus of isodensity contours, the area ofisodensity contours, the length of isodensity contours in the 2-dimensionalslice and the level crossing statistics on the line. We find that all thesestatistics in redshift space as functions of density threshold of contours havethe same shape as in real space. The redshift space distortion affects onlyamplitudes of these statistics. The three-dimensional genus and the area hardlysuffer from the redshift space distortion for $0 \leq \Omega b^{-5/3} \leq 1$,where $b$ is a linear bias parameter. The other statistics are defined in one-or two-dimensional slices of the sample volume and depend on the direction ofthese slices relative to the line of sight. This dependence on direction ofthese statistics provides a way to determine the density parameter of theuniverse.Comment: 15 pages + 3 figures (uuencoded postscript

Statistics of Isodensity Contours in Redshift Space