Results 11 to 20 of about 6,899 (189)

Multiloop algebras, iterated loop algebras and extended affine Lie algebras of nullity 2 [PDF]

, 2014
Let M(n) be the class of all multiloop algebras of finite dimensional simple Lie algebras relative to n-tuples of commuting finite order automorphisms.
Allison, Bruce, Berman, Stephen, Pianzola, Arturo   +2 more
core   +1 more source

The homology of path spaces and Floer homology with conormal boundary conditions [PDF]

, 2008
We define the Floer complex for Hamiltonian orbits on the cotangent bundle of a compact manifold satisfying non-local conormal boundary conditions. We prove that the homology of this chain complex is isomorphic to the singular homology of the natural ...
Alberto Abbond, Dedicated Felix, E. Browder, Matthias Schwarz, Ro Portaluri   +4 more
core   +2 more sources

Submanifolds with nonparallel first normal bundle revisited [PDF]

, 2013
In this paper, we analyze the geometric structure of an Euclidean submanifold whose osculating spaces form a nonconstant family of proper subspaces of the same dimension.
Dajczer, Marcos, Tojeiro, Ruy
core   +3 more sources

A Berger type normal holonomy theorem for complex submanifolds [PDF]

, 2011
We prove a kind of Berger-Simons' Theorem for the normal holonomy group of a complex submanifold of the projective ...
A.J. Di Scala, Antonio J. Di Scala, B. O’Neill, C. Olmos, C. Olmos, C. Olmos, C. Olmos, C. Olmos, C. Olmos, C.L. Terng, C.L. Terng, Carlos Olmos, D. Alekseevsky, E. Heintze, E. Heintze, G. Thorbergsson, H. Nakagawa, J. Dadok, J. Erbacher, J. Simons, J.D. Moore, K. Abe, M. Berger, M. Dajczer, S. Console, S. Console, S. Console, Sergio Console   +27 more
core   +1 more source

Nonnegatively curved Euclidean submanifolds in codimension two

, 2016
We provide a classification of compact Euclidean submanifolds $M^n\subset{\mathbb{R}}^{n+2}$ with nonnegative sectional curvature, for $n\ge 3$. The classification is in terms of the induced metric (including the diffeomorphism classification of the ...
Florit, Luis A., Ziller, Wolfgang
core   +1 more source

A geometric study of marginally trapped surfaces in space forms and Robertson-Walker spacetimes -- an overview

, 2020
A marginally trapped surface in a spacetime is a Riemannian surface whose mean curvature vector is lightlike at every point. In this paper we give an up-to-date overview of the differential geometric study of these surfaces in Minkowski, de Sitter, anti ...
Dekimpe, Kristof, Van der Veken, Joeri
core   +1 more source

The geometric Cauchy problem for developable submanifolds

, 2019
Given a smooth distribution $\mathscr{D}$ of $m$-dimensional planes along a smooth regular curve $\gamma$ in $\mathbb{R}^{m+n}$, we consider the following problem: To find an $m$-dimensional developable submanifold of $\mathbb{R}^{m+n}$, that is, a ruled
Raffaelli, Matteo
core   +1 more source

Expansions of the real field by open sets: definability versus interpretability [PDF]

, 2008
An open set U of the real numbers R is produced such that the expansion (R,+,x,U) of the real field by U defines a Borel isomorph of (R,+,x,N) but does not define N.
Friedman, H., Kurdyka, K., Miller, C., Speissegger, P.   +3 more
core   +9 more sources

On a Gromoll-Meyer type theorem in globally hyperbolic stationary spacetimes

, 2007
Following the lines of the celebrated Riemannian result of Gromoll and Meyer, we use infinite dimensional equivariant Morse theory to establish the existence of infinitely many geometrically distinct closed geodesics in a class of globally hyperbolic ...
Biliotti, L., Mercuri, F., Piccione, P.
core   +1 more source

The Lagrangian Conley Conjecture

, 2010
We prove a Lagrangian analogue of the Conley conjecture: given a 1-periodic Tonelli Lagrangian with global flow on a closed configuration space, the associated Euler-Lagrange system has infinitely many periodic solutions.
Mazzucchelli, Marco
core   +3 more sources