Submanifold Theory and Study of Circles

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(1) We study length spectrum of geodesic spheres in rank one symmetric spaces.(2) We characterize constant isotropic immersions by circles.(3) We investigate bondedness and unboundedness of Killing ordinary helices on a complex hyperbolic plane, respectively.(4) We show that every real hypersurface of a nonflat complex space form is irreducible.(5) We characterize extrinsic spheres in a Riemannian manifold by circles.(6) We characterize Veronese embeddings of complex projective spaces into complex projective spaces by circles.