Functions dividing their Hessian determinants and affine spheres
نویسندگان
چکیده
منابع مشابه
تناظریابی پایدار بر مبنای عوارض Hessian-Affine و توصیفگر MROGH
تناظریابی یکی از فرآیندهای اساسی و مهم در فتوگرامتری است. در این مقاله یک روش دقیق و پایدار برای تناظریابی اتوماتیک تصاویری که دارای اختلافات هندسی زیاد ناشی از تغییر نقطه‌ی دید تصویربرداری هستند، ارائه شده‌است. روش پیشنهادی از سه مرحله اصلی تشکیل شده‌است. در مرحله اول یک مجموعه از عوارض پایدار تصویر با بهره‌گیری از الگوریتم Hessian-Affine و با استفاده از دو قید توزیع مکانی و مقیاس استخراج می...
متن کاملSurvey on Affine Spheres
Affine spheres were introduced by Ţiţeica in [72, 73], and studied later by Blaschke, Calabi, and Cheng-Yau, among others. These are hypersurfaces in affine R which are related to real Monge-Ampère equations, to projective structures on manifolds, and to the geometry of Calabi-Yau manifolds. In this survey article, we will outline the theory of affine spheres their relationships to these topics...
متن کاملAffine Lines in Spheres
Because of the hairy ball theorem, the only closed 2-manifold that supports a lattice in its tangent space is T . But, if singular points (i.e. points whose tangent space is not endowed with 2 distinct coordinate directions) are allowed, then it becomes possible to give the tangent space a lattice. Because the lattice is well defined everywhere around the points, the effect of moving around the...
متن کاملQuasiconvex functions and Hessian equations
In this note we construct new examples of quasiconvex functions defined on the set Sn×n of symmetric matrices. They are built on the k-th elementary symmetric function of the eigenvalues, k = 1, 2, ..., n. The idea is motivated by Šverák’s paper [S]. The proof of our result relies on the theory of the so-called k-Hessian equations, which have been intensively studied recently, see [CNS], [T], [...
متن کاملFunctions with orthogonal Hessian
A Dirichlet problem for orthogonal Hessians in two dimensions is explicitly solved, by characterizing all piecewise C functions u : Ω ⊂ R → R with orthogonal Hessian in terms of a property named “second order angle condition” as in (1).
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Asian Journal of Mathematics
سال: 2016
ISSN: 1093-6106,1945-0036
DOI: 10.4310/ajm.2016.v20.n3.a5