Closed Weingarten hypersurfaces in semi-riemannian manifolds

60 citations recorded by the source corpus.

The existence of closed hypersurfaces of prescribed curvature in semi-riemannian manifolds is proved provided there are barriers.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

The Christofel‐Minkowski problem III: Existence and convexity of admissible solutions (2006, unknown): “By the results in [10, 25], the matrix (fαβ + 2 α λα δαβ) is semi-positive definite.”
Oblique boundary value problems for augmented Hessian equations I (2015, unknown): “}, J = {j |wjj > − 1 3 w11,j > 1}, we have 1 ∈/ I, 1 ∈/ J, I∩J = ∅, {1}∪I∪J = {1,··· ,n}, and Jc = 1∪I, where Jc is the complementary set of J. By Andrews formula in Lemma 2.2 in [9], (see also [1, 2]), and F2, we have (3.11) − 1 w11 Fij,klD 1wijD1wkl − 1 w2 11 Fii(Diw11)2 ≥ 2 w11 X i6= j Fii ”
Mixed volume preserving curvature flows (2005, background): “Theorem 3.1 ([ Ge2 ,A3]) Let f be a C 2 symmetric function defined on a symmetric region Ω in R n . Let ˜”