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This is a short overview on the most classical results on mean curvature flow as a flow of smooth hypersurfaces. First of all we define the mean curvature flow as a quasilinear parabolic equation and give some easy examples of evolution. Then we consider the M.C.F. on convex surfaces and sketch the proof of the convergence to a round point. Some interesting results on the M.C.F. for entire graphs are also mentioned. In particular when we consider the case of dimension one, we can compute the equation...

Introduction to the theory of semi-holonomic jets.

Libermann, Paulette (1996)

Archivum Mathematicum

Introduction to the theory of semi-holonomic jets

Paulette Libermann (1997)

Archivum Mathematicum

Invariance of $g$ -natural metrics on linear frame bundles

Oldřich Kowalski, Masami Sekizawa (2008)

Archivum Mathematicum

In this paper we prove that each $g$ -natural metric on a linear frame bundle $L M$ over a Riemannian manifold $(M, g)$ is invariant with respect to a lifted map of a (local) isometry of the base manifold. Then we define $g$ -natural metrics on the orthonormal frame bundle $O M$ and we prove the same invariance result as above for $O M$ . Hence we see that, over a space $(M, g)$ of constant sectional curvature, the bundle $O M$ with an arbitrary $g$ -natural metric $\tilde{G}$ is locally homogeneous.

Invariant analysis and contractions of symmetric spaces : part II

François Rouvière (1991)

Compositio Mathematica

Invariant analysis and contractions of symmetric spaces. Part I

François Rouvière (1990)

Compositio Mathematica

Invariant cohomology of the Poisson Lie algebra of a symplectic manifold

Marc De Wilde, Pierre B. A. Lecomte, Dominique Mélotte (1985)

Commentationes Mathematicae Universitatis Carolinae

Invariant connections and invariant holomorphic bundles on homogeneous manifolds

Indranil Biswas, Andrei Teleman (2014)

Open Mathematics

Let X be a differentiable manifold endowed with a transitive action α: A×X→X of a Lie group A. Let K be a Lie group. Under suitable technical assumptions, we give explicit classification theorems, in terms of explicit finite dimensional quotients, of three classes of objects: equivalence classes of α-invariant K-connections on X α-invariant gauge classes of K-connections on X, andα-invariant isomorphism classes of pairs (Q,P) consisting of a holomorphic Kℂ-bundle Q → X and a K-reduction P of Q (when...

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Intrinsic measures complex manifolds

Intrinsic Measures of Compact Complex Manifolds.

Introduction à la géométrie hyperbolique

Introduction à l’invariant $η$

Introduction aux géométries de Hilbert

Introduction aux problèmes analytiques posés par le système des équations de Yang-Mills

Introduction aux travaux de Fukaya

Introduction élémentaire à l'analyse spinorielle

Introduction to Grassmann manifolds and quantum computation.

Introduction to mean curvature flow

Introduction to the theory of semi-holonomic jets.

Introduction to the theory of semi-holonomic jets

Invariance of $g$ -natural metrics on linear frame bundles

Invariant analysis and contractions of symmetric spaces : part II

Invariant analysis and contractions of symmetric spaces. Part I

Invariant cohomology of the Poisson Lie algebra of a symplectic manifold

Invariant connections and invariant holomorphic bundles on homogeneous manifolds

Invariant differential operators and the range of the radon D-plane transform.

Invariant differential operators in hyperbolic spaces.

Invariant distances and invariant differential metrics in locally convex spaces

Currently displaying 101 – 120 of 212