Integral formulas for compact spacelike n-submanifolds in de Sitter spaces Applications to the parallel mean curvature vector case.
Integral formulas related to ovals.
Integral formulas related to wave fronts
In the first section of the paper we study some properties of oriented volumes of wave fronts propagating in spaces of constant curvature. In the second section, we generalize to an arbitrary isometric action of a Lie group on a Riemannian manifold the following principle: an extra pression inside of a ball does not move it.
Integral geometry and real zeros of Thue-Morse polynomials.
Integral Geometry of the action fof ST(3) on the space E...
Integral Inequalities for Maximal Space-like Submanifolds in the Indefinite Space Form
Integral inequalities for maximal space-like submanifolds in the indefinite space form.
Integral Invariants of Principal SO(n)(r)Grouv Structures on Space Forms.
Integral submanifolds with closed conformal vector field in Sasakian manifolds.
Integral transforms for divisors in and solutions of systems of PDE’s
Integrality of characteristic numbers on complete Kähler manifolds.
Integrals of Subharmonic Functions on Manifolds of Nonnegative Curvature.
Integration in a dynamical stochastic geometric framework
Motivated by the well-posedness of birth-and-growth processes, a stochastic geometric differential equation and, hence, a stochastic geometric dynamical system are proposed. In fact, a birth-and-growth process can be rigorously modeled as a suitable combination, involving the Minkowski sum and the Aumann integral, of two very general set-valued processes representing nucleation and growth dynamics, respectively. The simplicity of the proposed geometric approach allows to avoid problems of boundary...
Integration in a dynamical stochastic geometric framework
Motivated by the well-posedness of birth-and-growth processes, a stochastic geometric differential equation and, hence, a stochastic geometric dynamical system are proposed. In fact, a birth-and-growth process can be rigorously modeled as a suitable combination, involving the Minkowski sum and the Aumann integral, of two very general set-valued processes representing nucleation and growth dynamics, respectively. The simplicity of the proposed geometric approach allows to avoid problems of boundary...
Integration Near the Royden Boundary of a Riemannian Manifold.
Interaction of Tubes and Spheres.
Interface dynamics for an anisotropic Allen-Cahn equation
Interior estimates for solutions of Abreu's equation.
This paper develops various estimates for solutions of a nonlinear, fouth order PDE which corresponds to prescribing the scalar curvature of a toric Kähler metric. The results combine techniques from Riemannian geometry and from the theory of Monge-Ampère equations.
Intermediate flexibility of surfaces
Intermediate inversion formulas in integral geometry.