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Dato un cono $V$ aperto non vuoto, convesso, regolare e affinemente omogeneo in uno spazio vettoriale reale $W$ di dimensione finita si prova che per ogni $v$ appartenente a $V$ esiste un diffeomorfismo $E_{v}:W\to V$ che soddisfa le condizioni seguenti E1) $E_{v}(0)=v$ ; E2) $\det(dE_{v}(y))=\Phi_{V}(E_{v}(y))^{-1}$ per ogni $y$ appartenente a $W$ ove $\Phi_{V}:V\to\mathbf{R}^{+}$ è la funzione caratteristica di $V$ .

A generalized Leibniz rule and foundation of a discrete quaternionic analysis

Gürlebeck, K., Sprössig, W. (1987)

Proceedings of the Winter School "Geometry and Physics"

A generalized plane wave metric

L. K. Patel, P. C. Vaidya (1971)

Annales de l'I.H.P. Physique théorique

A geodesic completeness theorem for locally symmetric Lorentz manifolds.

J. Lafuente López (1988)

Revista Matemática de la Universidad Complutense de Madrid

We prove that a locally symmetric and a null-complete Lorentz manifold is geodetically complete.

A Geometric Algebraicity Property for Moduli Spaces of Compact Kähler Manifolds with h 2, 0 = 1.

G. Schumacher, F. Campana (1990)

Mathematische Zeitschrift

A geometric characterization of Finsler manifolds of constant curvature $K = 1$ .

Bejancu, A., Farran, H.R. (2000)

International Journal of Mathematics and Mathematical Sciences

A Geometric Characterization of Harmonic Diffeomorphisms Between Surfaces.

Barbara Tabak (1985)

Mathematische Annalen

A geometric characterization of helicoidal surfaces of constant mean curvature.

Roussos, Ioannis M. (1988)

Publications de l'Institut Mathématique. Nouvelle Série

A geometric characterization of the orbits of s-representations.

Carlos Olmos, Cristián Sánchez (1991)

Journal für die reine und angewandte Mathematik

A geometric construction of (para)-pluriharmonic maps into $G L (2 r) / S P (2 r)$ .

Schäfer, Lars (2008)

Balkan Journal of Geometry and its Applications (BJGA)

A geometric estimate for a periodic Schrödinger operator

Thomas Friedrich (2000)

Colloquium Mathematicae

We estimate from below by geometric data the eigenvalues of the periodic Sturm-Liouville operator $- 4 d^{2} / d s^{2} + κ^{2} (s)$ with potential given by the curvature of a closed curve.

A geometric problem and the Hopf Lemma. I

Yan Yan Li, Louis Nirenberg (2006)

Journal of the European Mathematical Society

A classical result of A. D. Alexandrov states that a connected compact smooth $n$ -dimensional manifold without boundary, embedded in $ℝ^{n + 1}$ , and such that its mean curvature is constant, is a sphere. Here we study the problem of symmetry of $M$ in a hyperplane $X_{n + 1} = const$ in case $M$ satisfies: for any two points $(X^{'}, X_{n + 1})$ , $(X^{'}, {\hat{X}}_{n + 1})$ on $M$ , with $X_{n + 1} > {\hat{X}}_{n + 1}$ , the mean curvature at the first is not greater than that at the second. Symmetry need not always hold, but in this paper, we establish it under some additional condition for $n = 1$ . Some variations...

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A generalization of the holomorphic flag curvature of complex Finsler spaces.

A generalization of the Schwarz-Ahlfors lemma fo the theory of harmonic maps.

A generalization of the Schwarzian via Clifford numbers.

A generalization of the torsion form

A generalized exponential map for an affinely homogeneous cone