Zobrazeno 1 - 10
of 19
pro vyhledávání: '"Nefton Pali"'
Autor:
Nefton Pali
Publikováno v:
European Journal of Mathematics. 3:587-602
The concavity of Perelman’s $$\mathcal {W}$$ -functional over a neighborhood of a Kahler–Ricci soliton inside the space of Kahler potentials is a direct consequence of author’s solution of the variational stability problem for Kahler–Ricci so
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e74244645c50b02ed91e7d1670389f78
https://doi.org/10.1007/s40879-017-0155-3
https://doi.org/10.1007/s40879-017-0155-3
Autor:
Nefton Pali
Publikováno v:
Advances in Mathematics. 290:15-35
We provide the solution of the variational stability problem for Kahler–Ricci Solitons with respect to Perelman's W functional.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9267f5956aab44a4850f97189097a701
https://doi.org/10.1016/j.aim.2015.12.005
https://doi.org/10.1016/j.aim.2015.12.005
Autor:
Nefton Pali
Publikováno v:
Kodai Math. J. 41, no. 1 (2018), 201-226
We obtain a formal obstruction, i.e. a necessary condition for the existence of polarized complex deformations of Kähler-Ricci solitons. This obstruction is expressed in terms of the harmonic part of the variation of the complex structure.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::42e62561ed3aee0282aeeb46c9595da2
https://doi.org/10.2996/kmj/1521424832
https://doi.org/10.2996/kmj/1521424832
Autor:
Nefton Pali, Florent Hivert
Publikováno v:
Advances in Mathematics
Advances in Mathematics, Elsevier, 2019, 354, ⟨10.1016/j.aim.2019.106732⟩
Advances in Mathematics, Elsevier, 2019
Advances in Mathematics, Elsevier, 2019, 354, ⟨10.1016/j.aim.2019.106732⟩
Advances in Mathematics, Elsevier, 2019
We obtain a complete time expansion of the pull-back operator generated by a real analytic flow of real analytic automorphisms acting on analytic tensor sections of a manifold. Our expansion is given in terms of multiple Lie derivatives. Motivated by
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5ef2ee200d053682f8e66643f229b1b3
https://doi.org/10.1016/j.aim.2019.106732
https://doi.org/10.1016/j.aim.2019.106732
Autor:
Nefton Pali
Publikováno v:
Mathematische Zeitschrift. 276:173-189
We show a quite simple second variation formula for Perelman’s \(\mathcal W \)-functional along the modified Kahler-Ricci flow over Fano manifolds.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6dd20ed61ff842f5fe2d55f240d4f5ec
https://doi.org/10.1007/s00209-013-1192-3
https://doi.org/10.1007/s00209-013-1192-3
Autor:
Nefton Pali
Publikováno v:
Calculus of Variations and Partial Differential Equations. 50:115-144
We show a very simple and general total second variation formula for Perelman’s $$\mathcal W $$ -functional at arbitrary points in the space of Riemannian metrics. Moreover we perform a study of the properties of the variations of Kahler structures
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9481727c8e084390804904d3a62e152e
https://doi.org/10.1007/s00526-013-0630-8
https://doi.org/10.1007/s00526-013-0630-8
Autor:
Nefton Pali
Publikováno v:
Annali di Matematica Pura ed Applicata. 191:363-394
We prove a sharp Ohsawa–Takegoshi–Manivel type L 2-extension result for twisted holomorphic sections of singular hermitian line bundles over almost Stein manifolds. We establish as corollaries some extension results for pluri-twisted holomorphic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bbc5182fa37cd878e5baf6f67e2cd27a
https://doi.org/10.1007/s10231-011-0187-0
https://doi.org/10.1007/s10231-011-0187-0
Autor:
Jean-Pierre Demailly, Nefton Pali
Publikováno v:
International Journal of Mathematics. 21:357-405
We prove the existence and uniqueness of the solutions of some very general type of degenerate complex Monge–Ampère equations, and investigate their regularity. These types of equations are precisely what is needed in order to construct Kähler–
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::26e06543f50b679445b1b488a2f8110d
https://doi.org/10.1142/s0129167x10006070
https://doi.org/10.1142/s0129167x10006070
Autor:
Nefton Pali
Publikováno v:
Complex Variables and Elliptic Equations. 54:1019-1054
We propose an improvement to the bifurcation technique considered by Bando–Mabuchi for the construction of the solutions of the Aubin equation over Einstein–Fano manifolds. We also introduce a simplification in Tian's proof of the properness of t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d41cdd1ef75eb19283eafa3ea9ed3fa2
https://doi.org/10.1080/17476930903275953
https://doi.org/10.1080/17476930903275953
Autor:
Nefton Pali
Publikováno v:
Indiana University Mathematics Journal. 57:3241-3274
We explain a characterization of Einstein-Fano manifolds in terms of the lower bound of the density of the volume of the K\"ahler-Ricci Flow. This is a direct consequence of Perelman's uniform estimate for the K\"ahler-Ricci Flow and a $C^0$ estimate
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c0c0891225ac8ab699122007d3a600c2
https://doi.org/10.1512/iumj.2008.57.3426
https://doi.org/10.1512/iumj.2008.57.3426