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Displaying 41 – 60 of 791

On a Fourth Order Equation in 3-D

Xingwang Xu, Paul C. Yang (2010)

ESAIM: Control, Optimisation and Calculus of Variations

In this article we study the positivity of the 4-th order Paneitz operator for closed 3-manifolds. We prove that the connected sum of two such 3-manifold retains the same positivity property. We also solve the analogue of the Yamabe equation for such a manifold.

On a fractional Nirenberg problem. Part I: Blow up analysis and compactness of solutions

Tianling Jin, Yan Yan Li, Jingang Xiong (2014)

Journal of the European Mathematical Society

We prove some results on the existence and compactness of solutions of a fractional Nirenberg problem. The crucial ingredients of our proofs are the understanding of the blow up profiles and a Liouville theorem.

On a fully nonlinear Yamabe problem

Yuxin Ge, Guofang Wang (2006)

Annales scientifiques de l'École Normale Supérieure

On a Generalization of the Hopf Fibration, III. (Subvarieties in the C-Spaces).

Kinetsu Abe (1985)

Monatshefte für Mathematik

On a generalized Calabi-Yau equation

Hongyu Wang, Peng Zhu (2010)

Annales de l’institut Fourier

Dealing with the generalized Calabi-Yau equation proposed by Gromov on closed almost-Kähler manifolds, we extend to arbitrary dimension a non-existence result proved in complex dimension $2$ .

On a generic property of geodesic flows.

Hans-Bert Rademacher (1994)

Mathematische Annalen

On a global version of the Gauss-Bonnet theorem

Alois Švec (1975)

Czechoslovak Mathematical Journal

On a group of holomorphic transformations in $𝒞^{2}$

Alois Švec (1974)

Czechoslovak Mathematical Journal

On a horizontal structure on differentiable manifolds

Anton Dekrét (1977)

Mathematica Slovaca

On a lower bound for the first eigenvalue of the Laplace operator on a riemannian manifold

Atsushi Kasue (1984)

Annales scientifiques de l'École Normale Supérieure

On a lower bound of the second eigenvalue of the Laplacian on an Einstein space

Shukichi Tanno (1978)

Colloquium Mathematicae

On a Natural Algebraic Affine Connection on the Space of Almost Complex Structures and the Curvature of Teichmüller Space with Respect to its Weil-Petersson Metric.

A.J. Tromba (1986)

Manuscripta mathematica

On a new family of homogeneous Einstein manifolds

Eugene D. Rodionov (1992)

Archivum Mathematicum

We show that there exists exactly one homothety class of invariant Einstein metrics on each space ${[S U (2)]}^{S + 1} / T^{S}$ defined below.

On a new normalization for tractor covariant derivatives

Matthias Hammerl, Petr Somberg, Vladimír Souček, Josef Šilhan (2012)

Journal of the European Mathematical Society

A regular normal parabolic geometry of type $G / P$ on a manifold $M$ gives rise to sequences $D_{i}$ of invariant differential operators, known as the curved version of the BGG resolution. These sequences are constructed from the normal covariant derivative $\nabla^{ω}$ on the corresponding tractor bundle $V$ , where $ω$ is the normal Cartan connection. The first operator $D_{0}$ in the sequence is overdetermined and it is well known that $\nabla^{ω}$ yields the prolongation of this operator in the homogeneous case $M = G / P$ . Our first main result...

We prove that every generalized Cartan hypersurface satisfies the so called Roter type equation. Using this fact, we construct a particular class of generalized Robertson-Walker spacetimes.

On a Problem Concerning the Intrinsic Characterization of Cn.

H. Wu (1979)