TAILIEUCHUNG - Research report ", microalgae (microalgae) in lakes of the South, Vinh City, Nghe An."

Microorganisms are single-celled organisms are small, not observed with the naked eye but to use a microscope. The term microbial does not correspond to any taxon in scientific classification. It includes viruses, bacteria, archaea, fungi, microscopic algae, protozoa. Etc. | INDUCED GEOMETRY ON R4n NGUYEN VIET HAI a Abstract. The present paper is a continuation of Nguyen Viet Hai s ones 4 5 . In this the author give a method to construct hypersymplectic structures on R4n from affine-symplectic data on R2n. 1 PRELIMINARIES A hypersymplectic structure on a 4n-dimensional manifold M is given by J E Ố where J E are endomorphisms of the tangent bundle of M such that J2 -1 E2 1 JE -EJ Ố is a neutral metric that is of signature 2n 2n satisfying Ỗ X Y Ỗ JX JY -Ỗ EX EY for all vector fields X Y on M and the following associated 2-forms are closed W1 X Y Ỗ JX Y U2 X Y ỗ EX Y u i X Y Ỗ JEX Y . In 5 we have determined the flat torsion-free connections on the 2-dimensional Lie algebras which are compatible with a symplectic form and obtained their equivalence classes. We showed all the flat torsion-free connections that preserve a sym-plectic form on the 2-dimensional Lie algebras namely on R2 and on aff R . Those importante results used in the 4-dimensional case. In 4 we presented a method to contruct four-dimensional Lie algebras carrying a hypersymplectic structure from two 2-dimensional Lie algebras equipped with compatible flat torsion-free connections and symplectic forms. Using this method we obtained the classification up to equivalence of all left-invariant hypersymplectic structures on 4-dimensional Lie groups. All those Lie groups are exponential type. The purpose of this paper is to give a procedure to construct hypersymplectic structures on R4n with complete and not necessarily flat associated neutral metrics. 1 Nhận bài ngày 24 11 2006. sửa chữa xong ngày 14 12 2006. The idea behind the construction will be to consider the canonical flat hypersymplec-tic structure on R4n and then translate it by using an appropriate group acting simply and transitively on R4n. This group will be a double Lie group R4n R2n x 0 0 x R2n constructed from affine data on R2n. The paper is organized as follows. In 2 we give to R4n a structure of a nilpotent

• Báo cáo khoa học
• Scientific reports
• progress reports at scientific collections
• agronomic reports
• reports in physics
• biology reports
• thematic biological
• collection of scientific reports
• industry reports philosophy of history reports
• reports in literature
• a scientific b shirt
• presentation of scientific reports
• reports on literature
• philosophy statement
• documents
• studies English language and English language communication and English language commercial
• induced geometry
• mathematical topics
• quantum mechanics
• physics
• reporting mathematics
• physics reports
• livestock reports
• physical reports
• research physicist
• specializing in physics
• mathematical statements
• mathematical equations
• English pronunciation
• presentation report
• agricultural reports
• technical crops
• bio technology
• English reports
• scientific research
• presentation reports
• mathematical knowledge
• reports of mathematics
• represented
• Wilf on packing distinct
• Tur´n density
• mathematical works
• patterns in a permutation
• statements and documents scientific reports
• reports agronomy
• biotechnology
• plants Vietnam
• specialized biological
• microbiological methods
• presenting the report
• anti bacterial properties of shrimp
• energy exchange
• engineering chicken
• Path counting
• random matrix theory
• Even circuits
• prescribed clockwise parity
• Correspondence between
• algorithmic characterizations
• Finding Induced Acyclic
• Random Digraphs
• Nonexistence results
• Hadamard like matrices
• Voltage Graphs
• Group Presentations
• Cages mathematical knowledge
• Dominance Order
• Graphical Partitions
• On the functions
• values in [α(G
• Box With Translates
• Two Given Rectangular Brick
• On the q analogue
• the sum of cubes