Zobrazeno 1 - 10
of 254
pro vyhledávání: '"Peter B. Gilkey"'
Publikováno v:
Nucl. Phys. B 601 (2001) 125-148
A central area of study in Differential Geometry is the examination of the relationship between the purely algebraic properties of the Riemann curvature tensor and the underlying geometric properties of the manifold. In this book, the findings of num
Autor:
Peter B. Gilkey, Klaus Kirsten, Jeong Hyeong Park, Dmitri Vassilevich, vassil@itp.uni-leipzig.de
Publikováno v:
ESI preprints.
Autor:
Peter B Gilkey
Pseudo-Riemannian geometry is an active research field not only in differential geometry but also in mathematical physics where the higher signature geometries play a role in brane theory. An essential reference tool for research mathematicians and p
Publikováno v:
Czechoslovak Mathematical Journal. 71:901-932
A perturbation of the de Rham complex was introduced by Witten for an exact 1-form Θ and later extended by Novikov for a closed 1-form on a Riemannian manifold M. We use invariance theory to show that the perturbed index density is independent of Θ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c2162a6bbea8f4164f90fee0bd1ddadd
https://doi.org/10.21136/cmj.2021.0142-20
https://doi.org/10.21136/cmj.2021.0142-20
Autor:
Peter B Gilkey
A central problem in differential geometry is to relate algebraic properties of the Riemann curvature tensor to the underlying geometry of the manifold. The full curvature tensor is in general quite difficult to deal with. This book presents results
Publikováno v:
Monatshefte für Mathematik. 192:65-74
We give a new short self-contained proof of the result of Opozda (Differ Geom Appl 21:173–198, 2004) classifying the locally homogeneous torsion free affine surfaces and the extension to the case of surfaces with torsion due to Arias-Marco and Kowa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5fc6a6e57dc8ca9764ffbaf7bb82325f
https://doi.org/10.1007/s00605-020-01382-y
https://doi.org/10.1007/s00605-020-01382-y
Autor:
Peter B. Gilkey
Publikováno v:
Geometry, Lie Theory and Applications ISBN: 9783030812959
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::614d486948861cf2ef8e7f89409561fb
https://doi.org/10.1007/978-3-030-81296-6_4
https://doi.org/10.1007/978-3-030-81296-6_4
Autor:
Peter B. Gilkey, J.A. Álvarez López
Publikováno v:
Journal of Geometry. 112
We introduce a Witten–Novikov type perturbation $$\bar{\partial }_{\bar{\omega }}$$ of the Dolbeault complex of any complex Kahler manifold, defined by a form $$\omega $$ of type (1, 0) with $$\partial \omega =0$$ . We give an explicit description
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::90f789c6f2740deb73a120d621f5cfc5
https://doi.org/10.1007/s00022-021-00589-0
https://doi.org/10.1007/s00022-021-00589-0
Publikováno v:
Journal of Mathematical Analysis and Applications. 474:179-193
An affine manifold is said to be geodesically complete if all affine geodesics extend for all time. It is said to be affine Killing complete if the integral curves for any affine Killing vector field extend for all time. We use the solution space of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::52205e13291b2010fd2a550d9e3887c1
https://doi.org/10.1016/j.jmaa.2019.01.038
https://doi.org/10.1016/j.jmaa.2019.01.038