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We establish $L_{p}$ Brunn-Minkowski type inequalities for radial Blaschke-Minkowski homomorphisms, which in special cases yield some new results for intersection bodies. Moreover, we obtain two monotonicity inequalities for radial Blaschke-Minkowski homomorphisms.

Inequalities of Willmore Type for Submanifolds.

U. Pinkall (1986)

Mathematische Zeitschrift

Inequality for Ricci curvature of certain submanifolds in locally conformal almost cosymplectic manifolds.

Yoon, Dae Won (2005)

International Journal of Mathematics and Mathematical Sciences

Inexistence de structures affines sur les fibrés de Seifert.

Y. Carrière, F. Dal'bo, G. Meigniez (1993)

Mathematische Annalen

Inf-convolution and regularization of convex functions on Riemannian manifolds of nonpositive curvature.

Daniel Azagra, Juan Ferrera (2006)

Revista Matemática Complutense

We show how an operation of inf-convolution can be used to approximate convex functions with C1 smooth convex functions on Riemannian manifolds with nonpositive curvature (in a manner that not only is explicit but also preserves some other properties of the original functions, such as ordering, symmetries, infima and sets of minimizers), and we give some applications.

Infinite boundary value problems for surfaces of prescribed mean curvature

Ermanna Tomaini (1986)

Rendiconti del Seminario Matematico della Università di Padova

Infinite number of spheres through four tangents. (Unendlich viele Kugeln durch vier Tangenten.)

Stachel, Hellmuth (1995)

Mathematica Pannonica

Infinite periodic discrete minimal surfaces without self-intersections.

Rossman, Wayne (2005)

Balkan Journal of Geometry and its Applications (BJGA)

Infinite-dimensional hyperkähler manifolds associated with Hermitian-symmetric affine coadjoint orbits

Alice Barbara Tumpach (2009)

Annales de l’institut Fourier

In this paper, we construct a hyperkähler structure on the complexification $𝒪^{ℂ}$ of any Hermitian symmetric affine coadjoint orbit $𝒪$ of a semi-simple $L^{*}$ -group of compact type, which is compatible with the complex symplectic form of Kirillov-Kostant-Souriau and restricts to the Kähler structure of $𝒪$ . By a relevant identification of the complex orbit $𝒪^{ℂ}$ with the cotangent space $T 𝒪$ of $𝒪$ induced by Mostow’s decomposition theorem, this leads to the existence of a hyperkähler structure on $T 𝒪$ compatible with...

Infinitely many spacelike periodic trajectories on a class of Lorentz manifolds

Carlo Greco (1994)

Rendiconti del Seminario Matematico della Università di Padova

Infinitesimal affine deformations of submanifolds of a Riemannian manifold

Stefka Trifonova Hineva (1982)

Archivum Mathematicum

Infinitesimal aspects of the Laplace operator.

Kock, Anders (2001)

Theory and Applications of Categories [electronic only]

Infinitesimal automorphisms and deformations of parabolic geometries

Andreas Čap (2008)

Journal of the European Mathematical Society

We show that infinitesimal automorphisms and infinitesimal deformations of parabolic geometries can be nicely described in terms of the twisted de Rham sequence associated to a certain linear connection on the adjoint tractor bundle. For regular normal geometries, this description can be related to the underlying geometric structure using the machinery of BGG sequences. In the locally flat case, this leads to a deformation complex, which generalizes the well known complex for locally conformally...

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