Minimal Ruled Submanifolds Associated with Gauss Map

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Ruled Minimal Lagrangian Submanifolds of Complex Projective 3-space

We show how a ruled minimal Lagrangian submanifold of complex projective 3-space may be used to construct two related minimal surfaces in the 5-sphere.

متن کامل

NO : 21 TITLE : ‘ MINIMAL LAGRANGIAN SUBMANIFOLDS VIA THE GEODESIC GAUSS MAP ’ AUTHOR ( S ) : Dr

For an oriented isometric immersion f : M → S the spherical Gauss map is the Legendrian immersion of its unit normal bundle UM⊥ into the unit sphere subbundle of TS, and the geodesic Gauss map γ projects this into the manifold of oriented geodesics in S (the Grassmannian of oriented 2-planes in R), giving a Lagrangian immersion of UM⊥ into a Kähler-Einstein manifold. We give expressions for the...

متن کامل

Minimal Submanifolds

Contents 1. Introduction 2 Part 1. Classical and almost classical results 2 1.1. The Gauss map 3 1.2. Minimal graphs 3 1.3. The maximum principle 5 2. Monotonicity and the mean value inequality 6 3. Rado's theorem 8 4. The theorems of Bernstein and Bers 9 5. Simons inequality 10 6. Heinz's curvature estimate for graphs 10 7. Embedded minimal disks with area bounds 11 8. Stable minimal surfaces ...

متن کامل

Ruled Laguerre minimal surfaces

A Laguerre minimal surface is an immersed surface in R being an extremal of the functional ∫ (H/K− 1)dA. In the present paper, we prove that any ruled Laguerre minimal surface distinct from a plane is up to motion a convolution of the helicoid x = y tan z, the cycloid r(t) = (t− sin t, 1−cos t, 0) and the Plücker conoid (ax+ by) = z(x+y) for some a, b ∈ R. To achieve invariance under Laguerre t...

متن کامل

The Gauss Map of Minimal Surfaces in R

In this paper, we prove effective estimates for the number of exceptional values and the totally ramified value number for the Gauss map of pseudo-algebraic minimal surfaces in Euclidean four-space and give a kind of unicity theorem.

متن کامل

ذخیره 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: Taiwanese Journal of Mathematics

سال: 2018

ISSN: 1027-5487

DOI: 10.11650/tjm/170908