Yau's first eigenvalue conjecture in the isoparametric case
نویسندگان
چکیده
منابع مشابه
The First Dirichlet Eigenvalue and the Yang Conjecture ∗
We estimate the lower bound of the first Dirichlet eigenvalue of a compact Riemannian manifold with negative lower bound of Ricci curvature in terms of the diameter and the lower bound of Ricci curvature and give an affirmative answer to the conjecture of H. C. Yang.
متن کاملThe First Slope Case of Wan’s Conjecture
Let d ≥ 2 and p a prime coprime to d. For f(x) ∈ (Zp ∩Q)[x], let NP1(f mod p) denote the first slope of the Newton polygon of the L-function of the exponential sums ∑ x∈F p` ζ TrF p` /Fp (f(x)) p . We prove that there is a Zariski dense open subset U in the space Ad of degree-d monic polynomials over Q such that for all f(x) ∈ U we have limp→∞ NP1(f mod p) = 1 d . This is a “first slope case” o...
متن کاملthe u.s. policy in central asia and its impact on the colored revolutions in the region (the case study of tulip revolution in kyrgyzstan)
چکیده ندارد.
15 صفحه اولNote: On Hanlon's Eigenvalue Conjecture
has conjectured an explicit formula for the eigenvalues of certain combinatorial matrices related to the cohomology of nilpotent Lie algebras. Several special cases of this conjecture are now established. 1996 Academic Press, Inc.
متن کاملThe Relativized Second Eigenvalue Conjecture of Alon
We prove a relativization of the Alon Second Eigenvalue Conjecture for all d-regular base graphs, B, with d ≥ 3: for any > 0, we show that a random covering map of degree n to B has a new eigenvalue greater than 2 √ d− 1 + in absolute value with probability O(1/n). Furthermore, if B is a Ramanujan graph, we show that this probability is proportional to n−η fund, where η fund(B) is an integer de...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: SCIENTIA SINICA Mathematica
سال: 2018
ISSN: 1674-7216
DOI: 10.1360/n012017-00229