Abstract
We verify the maximum conjecture on the rigidity of totally nondegenerate model CR manifolds in the following two cases: (i) for all models of CR dimension one, (ii) for the so-called full-models, namely those in which their associated symbol algebras are free CR. In particular, we discover that in each arbitrary CR dimension and length
Funding source: Institute for Research in Fundamental Sciences
Award Identifier / Grant number: 96510425
Funding statement: The research of the author was supported in part by the grant from IPM, no. 96510425.
Acknowledgements
The author gratefully thanks the referee for the helpful suggestions concerning the presentation of this paper.
References
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Articles in the same Issue
- Frontmatter
- The Mackey problem for free locally convex spaces
- Restricted averaging operators to cones over finite fields
- Asymptotic expansion of holonomy
- Compactness criteria for real algebraic sets and Newton polyhedra
- Unit-graphs and special unit-digraphs on matrix rings
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- Homogeneous Finsler spaces and the flag-wise positively curved condition
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Articles in the same Issue
- Frontmatter
- The Mackey problem for free locally convex spaces
- Restricted averaging operators to cones over finite fields
- Asymptotic expansion of holonomy
- Compactness criteria for real algebraic sets and Newton polyhedra
- Unit-graphs and special unit-digraphs on matrix rings
- ϕ-amenability and character amenability of Fréchet algebras
- Dirichlet series of two variables, real analytic Jacobi–Eisenstein series of matrix index, and Katok–Sarnak type result
- Idempotence of finitely generated commutative semifields
- N-Lusin property in metric measure spaces: A new sufficient condition
- Group schemes and local densities of ramified hermitian lattices in residue characteristic 2. Part II
- Homogeneous Finsler spaces and the flag-wise positively curved condition
- Index of Grassmann manifolds and orthogonal shadows
- Jantzen filtration and strong linkage principle for modular Lie superalgebras
- On the maximum conjecture