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$v$ -projective symmetries of fibered manifolds

Cătălin Tigăeru (1998)

Archivum Mathematicum

We prove that the set of the $v$ -projective symmetries is a Lie algebra.

Values of pseudoriemannian sectional cuvature.

John K. Beem, Philipp E. Parker (1984)

Commentarii mathematici Helvetici

Vanishing conharmonic tensor of normal locally conformal almost cosymplectic manifold

Farah H. Al-Hussaini, Aligadzhi R. Rustanov, Habeeb M. Abood (2020)

Commentationes Mathematicae Universitatis Carolinae

The main purpose of the present paper is to study the geometric properties of the conharmonic curvature tensor of normal locally conformal almost cosymplectic manifolds (normal LCAC-manifold). In particular, three conhoronic invariants are distinguished with regard to the vanishing conharmonic tensor. Subsequentaly, three classes of normal LCAC-manifolds are established. Moreover, it is proved that the manifolds of these classes are $η$ -Einstein manifolds of type $(α, β)$ . Furthermore, we have determined...

Variational metrics on $𝐑 \times T M$ and the geometry of nonconservative mechanics

Olga Krupková (1994)

Mathematica Slovaca

Variational principle for the Finslerian extension of general relativity.

G.S. Asanov (1982)

Aequationes mathematicae

Variational theory of Riemannian subspaces.

Moritz Armsen (1978/1979)

Manuscripta mathematica

Variationsprobleme mit einem Levi-Civita Zusammenhang.

Siegfried Steiner (1986)

Mathematische Zeitschrift

Variétés pseudo-ombilicales de codimension 2 et de courbure moyenne constante dans un espace elliptique à $n + 2$ dimensions et généralisations

Lieven Vanhecke (1973)

Czechoslovak Mathematical Journal

Variétés spatiales de codimension deux immergées dans un espace de Minkowski muni d'une connexion principale

Radu Rosca, Lieven Vanhecke (1977)

Czechoslovak Mathematical Journal

Varieties of minimal rational tangents of codimension 1

Jun-Muk Hwang (2013)

Annales scientifiques de l'École Normale Supérieure

Let $X$ be a uniruled projective manifold and let $x$ be a general point. The main result of [2] says that if the $(- K_{X})$ -degrees (i.e., the degrees with respect to the anti-canonical bundle of $X$ ) of all rational curves through $x$ are at least $dim X + 1$ , then $X$ is a projective space. In this paper, we study the structure of $X$ when the $(- K_{X})$ -degrees of all rational curves through $x$ are at least $dim X$ . Our study uses the projective variety $𝒞_{x} \subset ℙ T_{x} (X)$ , called the VMRT at $x$ , defined as the union of tangent directions to the rational curves...