RAMIFICATION OF THE GAUSS MAP OF COMPLETE MINIMAL SURFACES IN R m ON ANNULAR ENDS

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Ngày tải lên: 22/12/2013, 12:59

... Annals of Mathematics, 160 (2004), 523–572 The space of embedded minimal surfaces of fixed genus in a 3-manifold III; Planar domains By Tobias H Colding and William P Minicozzi II* Introduction ... from the boundary Here small means contained in a small ball 527 PLANAR DOMAINS A “pair of pants” (in bold) Graphical annuli (dotted) separate the “pai...

Ngày tải lên: 14/02/2014, 17:20

... description of any properly embedded minimal surface in terms of the ordering of the ends, the parity of the middle ends, the genus of each end - zero or in nite - and the genus of the surface This topological ... carried out independently of the other planes since the modified plane is contained in the union of the components of W that intersec...

Ngày tải lên: 16/02/2014, 06:20

... ——— , The space of embedded minimal surfaces of fixed genus in a 3-manifold V; Fixed genus, in preparation [CM8] ——— , Embedded minimal disks, in Minimal surfaces (MSRI , 2001), Clay Mathematics ... π In either case the separation w = π A multi-valued minimal graph is a multi-valued graph of a function u satisfying the minimal surface equ...

Ngày tải lên: 14/03/2014, 22:20

... Structural and functional analysis of the riboflavin synthesis genes encoding GTP cyclohydrolase II (ribA), DHBP synthase (ribBA), riboflavin synthase (ribC), and riboflavin deaminase/reductase (ribD) ... Downstream of ribX, four rib genes ) ribD, ribC, ribBA and ribE ) were organized in a complete operon in the same arrangement as the complete rib operons in othe...

Ngày tải lên: 31/03/2014, 08:20

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Ngày tải lên: 19/06/2014, 08:20

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Ngày tải lên: 05/07/2014, 21:20

... component of food production for fry and fingerlings Manure stimulates phytoplankton production, and also bacteria production on the bottom of the pond (detritus) The phytoplankton is food for ... Economic analysis of Nile Tilapia fish pond production In order to compare the production cost between the adoption of improved farm management practices and the far...

Ngày tải lên: 15/07/2015, 11:32

... MINISTRY OF EDUCATION AND TRAINING NHA TRANG UNIVERSITY JEAN CLAUDE NDORIMANA OPTIMIZATION OF NILE TILAPIA PRODUCTION IN PONDS BASED ON IMPROVED FARM MANAGEMENT PRACTICES IN RWANDA Master’s ... ponds based on improved farm management practices in Rwanda 4 Objectives of the study: 3.1 Main objective To optimize the Nile Tilapia producti...

Ngày tải lên: 16/07/2015, 08:20

... [3] and [6] when m = 3) Using the method of A Ros [6] and theory orbifold, we will give an estimate for the Gaussian curvature of minimal surfaces AN ESTIMATE FOR THE GAUSSIAN CURVATURE OF MINIMAL ... the above theorems still hold when the Gauss map restrict on annular end of M By estimate the Gaussian curvature of minimal surfaces we...

Ngày tải lên: 12/10/2015, 16:28

... Dethloff and P H Ha, Ramification of the Gauss map of complete minimal surfaces in R3 and R4 on annular ends, Ann Fac Sci Toulouse Math., 23 (2014), 829-846 RAMIFICATION OF THE GAUSS MAP AND THE ... whether we may show a relation between of the ramification of the Gauss map and the total curvature of a complete minimal surface...

Ngày tải lên: 14/10/2015, 07:57

... < R0 ) does not intersect K) The proof of the Main Theorem Proof For the convenience of the reader, we first recall some notations on the Gauss map of minimal surfaces in Rm Let M be a complete ... MINIMAL SURFACES ON ANNULAR ENDS for the (generalized) Gauss map for non-flat complete minimal surfaces in Rm for all m ≥ In this genera...

Ngày tải lên: 14/10/2015, 08:15

... like to show the S defect relations for the Gauss maps of minimal surfaces with finite total curvature in R3 which are similar to the H defect relations for the Gauss maps of minimal surfaces obtained ... study the non- integrated defect relations for the Gauss maps of complete minimal surfaces with finite total cur...

Ngày tải lên: 14/10/2015, 08:16