symmetric spaces
SYMMETRIC SPACES AND THE KASHIWARA-VERGNE METHOD
... those symmetric spaces, called here « special» , for which the method applies in the same way as for Lie ...general spaces, one needs to introduce a real- valued function e(X; Y ) of two tangent ...
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The First Eigenvalue of the Dirac Operator on Compact Outer Spin Symmetric Spaces
... SPIN SYMMETRIC SPACES JEAN-LOUIS MILHORAT ...spin symmetric spaces, providing, for sym- metric spaces of “inner” type, a formula giving this first eigenvalue in terms of the algebraic ...
42
Boundary maps and maximal representations on infinite dimensional Hermitian symmetric spaces
... HERMITIAN SYMMETRIC SPACES BRUNO DUCHESNE, JEAN LÉCUREUX, AND MARIA BEATRICE POZZETTI A BSTRACT ...Hermitian symmetric spaces, which allows us to define maximal ...Hermitian symmetric ...
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The First Eigenvalue of the Dirac Operator on Compact Spin Symmetric Spaces
... 1. Introduction It is well-known that symmetric spaces provide examples where detailed infor- mation on the spectrum of Laplace or Dirac operators can be obtained. Indeed, for those manifolds, the ...
9
Positively curved Riemannian locally symmetric spaces are positively squared distance curved
... spaces are positively squared distance curved Philippe Delano¨ e † and Fran¸cois Rouvi` ere Abstract The squared distance curvature is a kind of two-point curvature the sign of which turned out crucial for the ...
14
Mok-Siu-Yeung type formulas on contact locally sub-symmetric spaces
... a symmetric strictly pseudoconvex CR manifold then M = G/K where G is the closed subgroup of P sH(M, θ) generated by all the pseudo-Hermitian symmetries ψ(x0), x0 ∈ M, and K is the isotropy subgroup at a base ...
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Wrapped statistical models on manifolds: motivations, the case SE(n), and generalization to symmetric spaces
... 6 Conclusion Across the paper, we have seen how wrapped models can be constructed on manifolds with an exponential map. We have analysed the case of the Lie group SE(n) and mentioned Riemannian manifolds, though such ...
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Parallel Transport with Pole Ladder: a Third Order Scheme in Affine Connection Spaces which is Exact in Affine Symmetric Spaces
... connection spaces to establish in Section 1 the approximation provided by one step of the pole ladder up to order ...locally symmetric space, this suggests that the error could vanish in this ...global ...
19
A formula for the First Eigenvalue of the Dirac Operator on Compact Spin Symmetric Spaces
... SPIN SYMMETRIC SPACES JEAN-LOUIS MILHORAT ...irreducible symmetric space, endowed with the metric induced by the Killing form of G ...irreducible symmetric spaces endowed with a ...
18
Bézier curves and C2 interpolation in Riemannian Symmetric Spaces
... result of a least squares minimization and a recursive algorithm. In particular, we will focus on a special class of Riemannian symmetric spaces: the special orthogonal group SO(n). Indeed, working in such ...
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A Haar component for quantum limits on locally symmetric spaces
... locally symmetric spaces, based on Helgason’s version of the Fourier transform for this spaces, and inspired by the work of Zelditch in the case of G = SL(2, R) ...
40
Local in Time Strichartz Estimates for the Dirac Equation on Spherically Symmetric Spaces
... spherically symmetric manifold relies on the fact that it is possible to decompose the Dirac operator (and analogously its flow) in a sum of ”radial” Dirac operators (see section 3 for details) and so, somehow, ...
37
On the Growth of L2-Invariants of Locally Symmetric Spaces, II: Exotic Invariant Random Subgroups in Rank One
... This completely describes the topological spaces of IRSs in simple higher-rank Lie groups. On the other hand, if G is a group of real rank one then there are always more IRSs than those described in this theorem. ...
28
On a characteristic of the first eigenvalue of the Dirac operator on compact spin symmetric spaces with a Kähler or Quaternion-Kähler structure
... ric spaces. We consider a spin compact simply connected irreducible symmetric space G/K of “type I”, where G is a simple compact and simply-connected Lie group and K is the connected subgroup formed by the ...
26
Convolution of orbital measures on symmetric spaces of type $C_p$ and $D_p$
... the spaces SO(p, q) with p < q (recall that the latter spaces have a much richer root ...the spaces SO(p, q) with p < q, the number of zeroes on the diagonal of D X is ...
16
Consensus on Nonlinear Spaces
... of symmetric spaces like the ...nonlinear spaces in such a way that they converge (almost) globally under the same assumptions as linear consensus algorithms, and several solutions were proposed on ...
11
Kernel density estimation on spaces of Gaussian distributions and symmetric positive definite matrices
... countable. First the base has to be ordered such that the norm of the rest of the decomposition, i.e., P |j|>N hf, e j i e j , decreases as fast as possible for regular functions. Second, in order to process locations ...
45
A geometric study of Wasserstein spaces: Hadamard spaces
... of symmetric spaces. For example the hy- perbolic spaces RH n , CH n , HH n and OH 2 are the only rank one symmetric spaces of non-compact ...
31
Skew-Symmetric Tensor Decomposition
... dimension of secant varieties of Grassmannians, while for our purpose we need the whole description of all the elements in V• V annihilating the given tensor. The idea of extending the apolarity to contexts different ...
25
Matriochka symmetric Boolean functions
... The first attempt to mix the two requirements was done with symmetric Boolean functions. They deserve firstly attention in cryptography since they guarantee that no input variables has greater or lesser significance ...
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