... hypersurfaces twice differentiably imbedded in a Euclidean space E"*" of dimension n + 1 > 3. Suppose that there is a differentiable ... hypersurface V" imbedded in a Some global theorems on hypersurfaces Chuan-Chih Hsiung.

... hypersurfaces with constant principal curvatures in complex hyperbolic space, J. Reine Angew. Math. 395(1989), 132–141. Real hypersurfaces with constant principal ... hypersurfaces of a complex REAL HYPERSURFACES OF TYPEA 243.

... hypersurface I'”, y'. . . . . y" are regular parameters of the two hypersurfaces V", I'” so that the hypersurfaces I”. I*" can be represented respectively by the equations y- - y"+1(y, - - - y"), (4.3) n ...+ n - 1. y"+1 = y^*(y1 ...

... hypersurfaces of Mn(c). One of the first researches is the classification of homogeneous real hypersurfaces of a complex projective space P.C by Takagi [13], who showed that these hypersurfaces of PAC could be divided into six types ...

... hypersurfaces in Riemannian space, Pacific J. Math. 6 (1956), 291–299. 7. Y. Katsurada, Generalized Minkowski formulas for closed hypersurfaces in Riemann space, Ann. Mat. Pura Appl. (4) 57 (1962), 283–293. 6. 8. On a certain property ...

... hypersurfaces I”. I*" are coincident. (ii) If the two normals of the two hypersurfaces V", V* at every pair of corresponding points, under the given homeomorphism, of the two boundaries I"-", V*-* are parallel, then the two ...

... hypersurfaces are spheres, real projective spaces and their noncompact duals. We remark that Chen & Nagano's result remains true in the case where M admits totally umbilical hypersurfaces ([2]). Also, Chen and Verstraelen [2] obtained ...

... hypersurfaces. Theorems 3.1, 3.4, and 5.1, which illustrate the significance of M, and Mas, were all prefaced by the assumption that N # 0 over the hypersurface. We now investigate the properties of hypersurfaces for which N = 0 ...

... hypersurface of a contact space [2], and, on the other hand, an invariant hypersurface of an almost complex manifold is itself almost complex. We are thereby led to consider hypersurfaces of framed manifolds immersed in such a way that ...

... hypersurfaces: hypersurfaces which belong to a quadruply orthogonal system of hypersurfaces, [5], [25] and [26] and some special hypersurfaces of revolution. In this case the principal foliations of a hypersurface are obtained ...