By Proceedings of the International Workshop in Honor of S Maeda's 60th Birthday

This quantity is a compilation of papers offered on the convention on differential geometry, particularly, minimum surfaces, genuine hypersurfaces of a non-flat advanced area shape, submanifolds of symmetric areas and curve idea. It additionally includes new effects or short surveys in those components. This quantity offers primary wisdom to readers (such as differential geometers) who're drawn to the idea of actual hypersurfaces in a non-flat complicated area shape.

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Pn correspond to the ends of the minimal surface. Now we consider a family of complete minimal surfaces of finite total curvature and focus on a few ends case in terms of their genus. For n = 1, there is a family of minimal surfaces with genus γ. In fact, a family of minimal surfaces derived from Enneper’s surface is given by Chen and Gackstatter [1], Sato [12], Thayer [14], Weber and Wolf [15]. ) The family is obtained by adding handles to Enneper’s surface. γ=0 Enneper γ=1 γ=2 Chen-Gackstatter Fig.

Ann. 259 (1982), 359-369. 2. A. Costa, Examples of a Complete Minimal Immersion in of Genus One and Three Embedded Ends, Bil. Soc. Bras. Mat. 15 (1984), 47-54. 3. S. Fujimori and T. Shoda, Minimal surfaces with two ends which have the least total absolute curvature, preprint. 4. D. Hoffman and W. H. Meeks III, Embedded minimal surfaces of finite topology, Ann. of Math. (2) 131 (1990), 1–34. 5. D. Hoffman and R. Osserman, The geometry of the generalized Gauss map, Mem. Amer. Math. Soc. 28 (1980), iii+105 pp.

Y. Chen and S. Maeda, Real hypersurfaces in nonflat complex space forms are irreducible, Osaka J. Math. 40 (2003), 121–138. 22. H. Kim and S. Maeda, Practical criterion for some submanifolds to be totally geodesic, Monatshefte Math. 149 (2006), 233–242. 23. M. Kimura and S. Maeda, On real hypersurfaces of a complex projective space, Math. Z. 202 (1989), 299–311. 24. M. Kimura and S. Maeda, Geometric meaning of isoparametric hypersurfaces in a real space form, Canadian Math. Bull. 43 (2000), 74–78.