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Among all $C^{\infty}$ -algebras we characterize those which are algebras of $C^{\infty}$ -functions on second countable Hausdorff $C^{\infty}$ -manifolds.

Characterizing Hilbert space topology

H. Toruńczyk (1981)

Fundamenta Mathematicae

Characterizing infinite dimensional manifolds topologically

Robert D. Edwards (1978/1979)

Séminaire Bourbaki

Charles Ehresmann's concepts in differential geometry

Paulette Libermann (2007)

Banach Center Publications

We outline some of the tools C. Ehresmann introduced in Differential Geometry (fiber bundles, connections, jets, groupoids, pseudogroups). We emphasize two aspects of C. Ehresmann's works: use of Cartan notations for the theory of connections and semi-holonomic jets.

Cheeger inequalities for unbounded graph Laplacians

Frank Bauer, Matthias Keller, Radosław K. Wojciechowski (2015)

Journal of the European Mathematical Society

We use the concept of intrinsic metrics to give a new definition for an isoperimetric constant of a graph. We use this novel isoperimetric constant to prove a Cheeger-type estimate for the bottom of the spectrum which is nontrivial even if the vertex degrees are unbounded.

Cheeger's inequality with a boundary term.

M.N. Huxley (1983)

Commentarii mathematici Helvetici

Chern numbers for singular varieties and elliptic homology.

Totaro, Burt (2000)

Annals of Mathematics. Second Series

Chern-Simons terms as an example of the relations between mathematics and physics

Stanley Deser (1998)

Publications Mathématiques de l'IHÉS

Christoffer Symbols and Connection Forms on Infinite-Dimensional Fibre Bundles

Efstathios E. Vassiliou (1974)

Δελτίο της Ελληνικής Μαθηματικής Εταιρίας

Circle bundles, adiabatic limits of $η$ -invariants and Rokhlin congruences

Weiping Zhang (1994)

Annales de l'institut Fourier

We present a direct analytic treatment of the Rokhlin congruence formula $[$ R2 $]$ by calculating the adiabatic limit of $η$ -invariants of Dirac operators on circle bundles. Extensions to higher dimensions are obtained.

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Characteristic Homomorphisms of Regular Lie Algebroids

Characteristic Homomorphisms of Regular Lie Algebroids

Characteristic properties of distributions associated with the wave group

Characteristic vector fields of generic distributions of corank 2

Characterization and representation of the lower semicontinuous envelope of the elastica functional

Characterization of maximal Markovian couplings for diffusion processes.

Characterizations of $H_{x} 1$ -sufficiency of jets

Characterizing algebras of $C^{\infty}$ -functions on manifolds