A convertible limited (multi-) verifier signature (CL(M)VS) provides controlled verifiability and preserves the privacy of the signer. Furthermore, limited verifier(s) can designate the signature to a third party or convert it into a publicly verifiable signature upon necessity. In this proposal, we first present a generic construction of convertible limited verifier signature (CLVS) into which...

Let f : M ! E m be an immersion of a manifold in a Euclidean space. called the cubic representation of the submanifold. The purpose of this article is to investigate the geometry of the cubic representation of a spherical submanifold. Several theorems in this respect are obtained.

Abstract We describe a method, based on contact topology, of showing the existence semi-infinite trajectories Hamiltonian flows which start one Legendrian submanifold and asymptotically converge to another submanifold. discuss mathematical model non-equilibrium thermodynamics where such play role relaxation processes, illustrate our results in case Glauber dynamics for mean field Ising model.

Let 800(1, n) denote the connected component of the group of linear transformations of IRn+l preserving the bilinear form Abstract Using techniques of Lie groups and ergodic theory, it can be shown that in a compact manifold of constant negative curvature, the closure of a totally geodesic, complete (immersed) submanifold of dimension atleast 2 is a totally geodesicimmersed submanifold. The mai...

We give some estimates of the first eigenvalue of the Laplacian for compact and non-compact submanifold immersed in the Euclidean space by using the square length of the second fundamental form of the submanifold merely. Then some spherical theorems and a nonimmersibility theorem of Chern and Kuiper type can be obtained.

Given a Lagrangian submanifold in a symplectic manifold and a Morse function on the submanifold, we show that there is an isotopic Morse function and a symplectic Lefschetz pencil on the manifold extending the Morse function to the whole manifold. From this construction we define a sequence of symplectic invariants classifying the isotopy classes of Lagrangian spheres in a symplectic 4-manifold.

In [19], we proved that, under certain hypotheses, the moduli space of an asymptotically cylindrical special Lagrangian submanifold with fixed boundary of an asymptotically cylindrical Calabi-Yau 3-fold is a smooth manifold. Here we prove the analogous result for an asymptotically cylindrical special Lagrangian submanifold with moving boundary.

We present a simple, computation free and geometrical proof of the following classical result: for a diffeomorphism of a manifold, any compact submanifold which is invariant and normally hyperbolic persists under small perturbations of the diffeomorphism. The persistence of a Lipschitz invariant submanifold follows from an application of the Schauder fixed point theorem to a graph transform, wh...

This study looks into the bislant submanifolds of almost product semi-Riemannian manifolds that are Riemannian, and lightlike. We also state theorems provide required conditions for constructing a slant submanifold from submanifold. Morever, we define semi-slant locally discuss integrability distributions invariants or slants constitute