Download or read book Vector Fields and Infinitesimal Transformations on Almost Hermitian Manifolds with Boundary written by Arthur L. Hilt and published by . This book was released on 1961 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Vector Fields and Infintesimal Transformations on Almost hermitian Manifolds with Boundary written by Arthur L. Hilt and published by . This book was released on 1963 with total page 29 pages. Available in PDF, EPUB and Kindle. Book excerpt: An investigation is made of vector fields and infinitesimal transformations on almost-Hermitian manifolds with boundary. Riemannian manifolds are considered, as well as Lie derivatives over the manifolds, local boundary geodesic co-ordinates, and integral formulas. A Killing vector field on a compact orientable Riemannian manifold is discussed, and almost-Hermitian, almost-semiKahlerian, and almost-Kahlerian structures are defined. Contravariant analytic vector fields are given consideration on an almost-Hermitian manifold M(n) with boundary B(n-1), together with their relations to Killing, projective Killing, and conformal Killing vector fields. Covariant analytic vector fields on an almost-Hermitian manifold with boundary are studied as well as vector fields on an almost-Kahlerian manifold with boundary. (Author).

Download or read book Vector Fields and Infinitesimal Transformations on Riemannian Manifolds with Boundary written by Chuan-Chih Hsiung and published by . This book was released on 1943 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt: Results of studies made of vector fields or infinitesimal transformations on compact Riemannian manifolds without boundary are extended to Riemannian manifolds with boundary. Fundamental formulas for Lie derivatives are given and the infinitesimal transformations and their generating vector fields are defined in terms of Lie derivatives. Necessary and sufficient conditions for a vector field on a manifold with zero tangential or normal component on a boundary to be a killing vector field are given. Conditions are obtained for the nonexistence of a nonzero conformal killing vector field on a manifold with zero tangential or normal component on the boundary, and necessary and sufficient conditions for a vector field on a manifold with zero tangential or normal component on the boundary to be a conformal killing vector field are obtained. It is shown that if the manifold has constant scalar curvature and admits a certain special infinitesimal nonhomothetic conformal motion leaving the boundary invariant, then the curvature is greater than zero. On a compact orientible Einstein manifold with the same boundary and curvature greater than zero, those special infinitesimal nonhomothetic conformal motions leaving the boundary invariant form a Lie algebra; a decomposition of this algebra with interrelations between its subalgebras is also obtained.

Download or read book Canadian Journal of Mathematics written by and published by . This book was released on 1965 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Selected Papers of Chuan Chih Hsiung written by Chuan-Chih Hsiung and published by World Scientific. This book was released on 2001 with total page 728 pages. Available in PDF, EPUB and Kindle. Book excerpt: This invaluable book contains selected papers of Prof Chuan-Chih Hsiung, renowned mathematician in differential geometry and founder and editor-in-chief of a unique international journal in this field, the Journal of Differential Geometry . During the period of 1935OCo1943, Prof Hsiung was in China working on projective differential geometry under Prof Buchin Su. In 1946, he went to the United States, where he gradually shifted to global problems. Altogether Prof Hsiung has published about 100 research papers, from which he has selected 64 (in chronological order) for this volume. Contents: Projective Differential Geometry of a Pair of Plane Curves; A Projective Invariant of a Certain Pair of Surfaces; Affine Invariants of a Pair of Hypersurfaces; A Theorem on Surfaces with a Closed Boundary; Some Uniqueness Theorem on Riemannian Manifolds with Boundary; On the Group of Conformal Transformations of a Compact Riemannian Manifold; Minimal Immersions in Riemannian Spheres; A Remark on Pinched Manifolds with Boundary; Nonexistence of a Complex Structure on the Six-Sphere; Some Conditions for a Complex Structure; and other papers. Readership: Researchers in differential geometry."

Download or read book Selected Papers Of C C Hsiung written by Chuan-chih Hsiung and published by World Scientific. This book was released on 2001-04-30 with total page 718 pages. Available in PDF, EPUB and Kindle. Book excerpt: This invaluable book contains selected papers of Prof Chuan-Chih Hsiung, renowned mathematician in differential geometry and founder and editor-in-chief of a unique international journal in this field, the Journal of Differential Geometry.During the period of 1935-1943, Prof Hsiung was in China working on projective differential geometry under Prof Buchin Su. In 1946, he went to the United States, where he gradually shifted to global problems. Altogether Prof Hsiung has published about 100 research papers, from which he has selected 64 (in chronological order) for this volume.

Download or read book AFOSR written by United States. Air Force. Office of Scientific Research and published by . This book was released on 1968 with total page 968 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Canadian Journal of Mathematics written by and published by . This book was released on 1965 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Canadian Journal of Mathematics written by and published by . This book was released on 1965 with total page 1084 pages. Available in PDF, EPUB and Kindle. Book excerpt: Refereed journal publishing longer papers of original mathematical research.

Download or read book Canadian Journal of Mathematics written by and published by . This book was released on 1965 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Technical Abstract Bulletin written by and published by . This book was released on with total page 908 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Canadian Journal of Mathematics written by and published by . This book was released on 1965 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Index of Research Results written by United States. Air Force and published by . This book was released on 1962 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book U S Government Research Development Reports written by and published by . This book was released on 1965 with total page 784 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book OAR Quarterly Index of Current Research Results written by United States. Air Force. Office of Aerospace Research and published by . This book was released on 1959 with total page 800 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Dissertation Abstracts written by and published by . This book was released on 1962-04 with total page 1596 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstracts of dissertations and monographs in microform.

Download or read book OAR Cumulative Index of Research Results written by and published by . This book was released on with total page 788 pages. Available in PDF, EPUB and Kindle. Book excerpt: