Rigidity of surfaces with no conjugate points
نویسندگان
چکیده
منابع مشابه
On Spaces of Polynomial Growth with No Conjugate Points
The following generalization of the Hopf conjecture is proved: if the fundamental group of an n-dimensional compact polyhedral space M without boundary and with no conjugate points has polynomial growth, then there exists a finite covering of M by a flat torus. §
متن کاملAn Implicitization Algorithm for Rational Surfaces with no Base Points
The computation of the implicit equation of a rational parametric surface is in many applications the first step to deal with. The different methods of implicitization belong to two main classes. The first class of methods relies on classical elimination theory. Iterated resultants in one variable or resultants in several variables are used to compute the implicit form. The computation of the r...
متن کاملRigidity of Polyhedral Surfaces
We study the rigidity of polyhedral surfaces using variational principle. The action functionals are derived from the cosine laws. The main focus of this paper is on the cosine law for a non-triangular region bounded by three possibly disjoint geodesics. Several of these cosine laws were first discovered and used by Fenchel and Nielsen. By studying the derivative of the cosine laws, we discover...
متن کاملStarlike Functions of order α With Respect To 2(j,k)-Symmetric Conjugate Points
In this paper, we introduced and investigated starlike and convex functions of order α with respect to 2(j,k)-symmetric conjugate points and coefficient inequality for function belonging to these classes are provided . Also we obtain some convolution condition for functions belonging to this class.
متن کاملRigidity of polyhedral surfaces, II
We study the rigidity of polyhedral surfaces using variational principle. The action functionals are derived from the cosine laws. The main focus of this paper is on the cosine law for a non-triangular region bounded by three possibly disjoint geodesics. Several of these cosine laws were first discovered and used by Fenchel and Nielsen. By studying the derivative of the cosine laws, we discover...
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: Journal of Differential Geometry
سال: 1991
ISSN: 0022-040X
DOI: 10.4310/jdg/1214447537