Download Differential Geometry of Submanifolds: Proceedings of the by Atsushi Kasue (auth.), K. Kenmotsu (eds.) PDF

By Atsushi Kasue (auth.), K. Kenmotsu (eds.)

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Additional info for Differential Geometry of Submanifolds: Proceedings of the Conference held at Kyoto, January 23–25, 1984

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Of certain 145-158. 3~1984), theory maps, On the volume, and geodesic Geometry ~sometries preprint, projective AMS. methods 267(1981), of n e g a t i v e l y Univ. On the walks, of Geodesics by p e r t u r b a t i o n Trans. Sommese, random orders manifolds, and Related with manifolds 1983. of the Progress appli- 569-583. curved of Tsukuba, Advanced automorphism in Math. 14 THE FIRST STANDARD M I N I M A L IMMERSIONS OF COMPACT I R R E D U C I B L E SYMMETRIC SPACES Yoshihiro Ohnita Mathematical Institute Tohoku U n i v e r s i t y Sendal 980 Japan Introduction.

Furthermore, of G i a q u i n t a However, [5] s t a t e s this hold. 3. for ~, c, continuous Therefore, ¢ the result on ~. d. For the case which that under T = T* we have characterizes the the a b o v e m e n t i o n e d possibility for the not yet o b t a i n e d solvability results solution of E q . ( * ) T , . are d e e p l y a condition We h a v e connected to be r e p r e s e n t e d with for ~, c, a conjecture the as the g r a p h o v e r ~. 82 REFERENCES. [i] A l m g r e n , F. J. [2] F e d e r e r , H.

That Here G G is a c o m p a c t is s e m i s l m p l e . of the Lie a l g e b r a m. g of abelian b + a where the m a x i m a l T ~ b = t n k. = A element ~ in of of g G generated t is c a l l e d a root of gC = t ~ + Z E ~ ( G ) ~ . (H E t ; exp H = e }, Z(G) = {k E t ; (~,H) c Z D(G) = {k E Z(G) Let D(G) be the c o m p l e t e (V,p) to < t. on For for any g for any ; (~,~) ~ 0 be a t. t = We d e n o t e ~ E t, we put H E t }. with respect to t if ~ H E F(G)} for any a E Z+(G)}. set of i n e q u i v a l e n t T h e n for any belongs t Let of Put ~ G.

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