This is an announcement for the paper "A review on some geometric results of the Smulian's theorem on Frechet differentiability of norms" by A. Assadi,HADI Haghshenas and H. Hosseini Guive. Abstract: In this paper, we prove the Smulian s theorem on Frechet differentiability of norm,and present some of its geometric results concerning the Gateaux and Frechet differentiability of norm and properties of the allied space and its dual such as reflexivity and strict convexity. Archive classification: math.FA Mathematics Subject Classification: 46B20 Remarks: 4 Pages The source file(s), AREVIEWONSOMEGEOMETRICRESULTSOFTHESMULIANSTHEOREMONFRECHETDIFFERENTIABILITYOFNORMS.tex: 10646 bytes, is(are) stored in gzipped form as 0810.0773.gz with size 4kb. The corresponding postcript file has gzipped size 42kb. Submitted from: h_haghshenas60@yahoo.com The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/0810.0773 or http://arXiv.org/abs/0810.0773 or by email in unzipped form by transmitting an empty message with subject line uget 0810.0773 or in gzipped form by using subject line get 0810.0773 to: math@arXiv.org.