A bstract In the AdS/CFT correspondence, amplitudes associated to connected bulk
manifolds with disconnected boundaries have presented a longstanding mystery. A possible …

This is a comprehensive presentation of the geometry of submanifolds that expands on
classical results in the theory of curves and surfaces. The geometry of submanifolds starts …

On submanifolds with nonpositive extrinsic curvature Page 1 Math. Ann. 298, 187-192 (1994)
Malhematlsche Annalen ~) Springer-Verlag 1994 On submanifolds with nonpositive extrinsic …

Reverse isoperimetric inequality in two-dimensional Alexandrov spaces Page 1
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY Volume 145, Number 10 …

Submanifolds and foliations with restrictions on q-Ricci curvature are studied. In § 1 we
estimate the distance between two compact submanifolds in a space of positive q-Ricci …

This paper investigates the metric structure of compact-parabolic surfaces and topological
properties of-saddle surfaces in the sense of Šefel'in symmetric spaces of rank one, namely …

Chapter 1 (introductory) contains facts concerning foliated smooth manifolds. Chapter 2
deals not only with a foliated Riemannian manifold, but also with the slightly more general …

We use techniques based on the splitting tensor to explicitly integrate the Codazzi equation
along the relative nullity distribution and express the second fundamental form in terms of …

This paper investigates surfaces of nonpositive extrinsic curvature in a pseudo-Riemannian
space of curvature 1, Kählerian submanifolds of complex projective space, and saddle …

Abstract Contents Introduction § 1. Parabolic submanifolds 1.1. Point structure of the space
of second fundamental forms of a k-parabolic surface 1.2. Normal bundle of a manifold 1.3 …